A boat heading out to sea starts out at Point A, at a horizontal distance of 1465 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 13º. At some later
time, the crew measures the angle of elevation from point B to be 8°. Find the
distance from point A to point B. Round your answer to the nearest foot if
necessary.

Answers

Answer 1

By using what we know about right triangles, we will see that the distance is 1479.4 ft

How to find the distance between point A and point B?

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700


Related Questions

y = 3x + 1 -x + 2y = -3 solve system of equation by elimination

Answers


Question: y = 3x + 1 -x + 2y = -3
Answer:
x=1
y=-3


I need this answered please

Answers

Answer:

domain: ( 3,6,6)

range : (b,a,d)

The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20

Answers

Answer:

y=12

Step-by-step explanation:

y=k*x

3=5*k

k=3/5

y= (3/5)*x

y=(3/5)*20

y=12

X/3+7=12
Help :)
I need to write more to send it so…

Answers

Answer:

15

Step-by-step explanation:

To solve you have to get x by itself on one side.

x/3+7=12

First, you move the seven over.

x/3+7-7=12-7

Simplify.

x/3=5

Now to get x by itself you can multiply both sides by 3.

x/3*3=5*3

Simplify.

x=15

Answer:

x = 15

Step-by-step explanation:

x/3 + 3⋅7/3 = 12

x+3⋅7/3=12

x+21/3

X=15

The answer is C, but I don't understand why- can anyone tell me?

Answers

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

help me ??????? please

Answers

Answer:

58%

Step-by-step explanation:

vertical angles are always the same

What is the radius and diameter of the following circle?
14 cm

Answers

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16

Answers

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

Step-by-step explanation: How many solutions does the system of equations below have?

y=
–4
9

4
5

y=
–4
9

4
5

Answers

Answer:

3

Step-by-step explanation:

i dont understand this one

Answers

Answer:

C = 14[tex]\pi[/tex], A = 49[tex]\pi \\[/tex].

Step-by-step explanation:

C = Circumference, A = Area

So, the Circumference is 14[tex]\pi[/tex] and the area is 49[tex]\pi \\[/tex].

Hope this helps :)

What is the value of D?
5/6 = 1/3 + D

Answers

Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

there were 150 people in a parade last year. This year there are 20 people in the parade. What is the percent change of people in the parade from last year to this year?

Answers

Answer:

7.5

Step-by-step explanation:

What is 100 x 96 x 44?

Answers

Answer:

Step-by-step explanation:

100×96×44=100×(100-4)×44

=100×[100×44-4×44]

=100×[4400-176]

=100×4224

=422400

Answer:

422400

Step-by-step explanation:

100

x96

-------

9600

x44

----------

38400

+384000

----------------

422400

Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds

Answers

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

Expand and simplify (4x−3y)(6x−5y).

Answers

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence

Answers

Answer:

Part A

Let d = number of dogs

Let c = number of cats

Given:

total of 165 dogs and cats

⇒ d + c = 165

Given:

The number of cats is 24 less than twice the number of dogs

⇒ c = 2d - 24

Part B

Substitute  c = 2d - 24  into  d + c = 165  and solve for d:

⇒ d + 2d - 24 = 165

⇒ 3d - 24 = 165

⇒ 3d = 189

⇒ d = 63

Substitute found value of d into  d + c = 165  and solve for c:

⇒ 63 + c = 165

⇒ c = 102

Therefore, 63 dogs and 102 cats are adopted in the shelter.

A, B and C are points on the line 2x+y=8

DCE is a straight line.
AB:BC=2:1
EC:DC=1:2

Work out the ratio Area of triangle AEC : Area of triangle BCD

Give your answer in its simplest form.

Answers

The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line;

2x+y=8

x/4 + y/8 = 1

Coordinate for A(4, 0) and B(0, 8)

To find the coordinate C we will use external section formula:

Let (a, c) be a coordinate for C

AB : BC = 2:1

AC:BC = 3:1  

[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]

C(a, b) = (-2, 12)

Let coordinate for E(0, e) and for D(f, 0)

EC:DC=1:2 and C(-2, 12)

So after applying section formula, we will get:

E(0, -3) and D(0, 36)

Area of triangle AEC = (1/2)(7)(12) = 42 square units

Area of triangle BCD = (1/2)(28)(2) = 28 square units

ratio of area of triangle AEC : area of triangle BCD = 42:28

= 21:14

Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Hello! How to sketch the graph?

Answers

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Prove that AABE = ADCE, given that AE = DE, BE CE, with the same vertex measure ZE.​

Answers

Answer:

I don't understand the question

Dora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make?

Answers

Answer:

[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]

you made 27 of the invitations

This is a recipe that makes 30 chocolate chip cookies:
- 150g butter
- 160g sugar
- 225g plain flour
- 1 large egg
- 12 teaspoon bicarbonate of soda
- 200g chocolate chips
Miss Watson wants to make 25 cookies for her class.
How much plain flour will she need?

Answers

Step-by-step explanation:

30: 225 = 25: X

30/225= 25/X

30×X = 225×25

30X = 5625

X = 187.5

Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2.8%. How much interest will she pay if she pays the entire loan at the end of the fourth year?

Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Answer:

$724.11

Step-by-step explanation:

This requires the use of the growth formula.

Growth Formula:

[tex]y = a*(1+r)^x[/tex]

y = total/answer

a = starting value

r = rate (1.25 = 25%)

x = the amount of time (years/months)

Equation:

[tex]y = 6200 * (1+0.028)^4[/tex]

Solving:

y = $6924.11

$6924.11 - $6200 =  total interest

$724.11

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]

Find the surface area of the figure.

Answers

Answer:

[tex] {108in}^{2} [/tex]

Step-by-step explanation:

to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.

In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36

1/2(24*6)+36= 108

If this answer helped you, I would appreciate it if you gave me the brainliest :D

15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per day. Then its value went down by $5 a day for 10 days.

What is the value of the stock today?

Using Order of Operation
please answer i need it today :'(​

Answers

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me​

Answers

10 green cubes and 6 yellow cubes

hope it helps...!!!

Which of the following expresses a potential difficulty with preference ballots?

Preference ballots only list one candidate per elected position.

Preference ballots are seldom used and difficult to produce.

The results of preference ballots can be time-consuming to compile.

It is easy to commit voter fraud by falsifying preference ballots.

Answers

The results of preference ballots can be time-consuming to compile

The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.

What is preference ballot?

A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.

Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.

Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.

Thus, this can result in delays in announcing the results and can be time-consuming to compile.

For more details regarding preference ballots, visit:

https://brainly.com/question/31264096

#SPJ2

Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.

Answers

Equation 1: x= 1/5y + -32/5
Equation 2: x= 1/7y + -47/7

I need help I'm stuck ?

Answers

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm

Answers

D) 30 mm

should be it!! GL:)

The the volume of the triangular prism is 30mm so D
Other Questions
Second Exercise: The circuit breaker in a kitchen (6.5 points) The electrical installation in a kitchen is fed by a sinusoidal alternating voltage of effective value U = 220 V. This installation includes the following electrical appliances: A refrigerator; A washing machine; An electric water heater (which can be considered as a resistor) of power P = 1540 W; An incandescent lamp carrying the following indications (220 V, 100 W). . 1) These electrical appliances are connected in parallel. Why? 226 What is the slope of the line that passes through the points (1, -6) and (-2, 8)?Write your answer in simplest form. PLEASE HELP MEEEEEEE May you help me please I am stressed and struggling help me with this math question What is the percent if 200 is the total and 150 is the part? Six divided by one thirds Write a summary on how to use a light microscopeDUE TODAY PLEASE HELP. translate all of these questions correctly please. Thank you. wats the worest thing someone ever told u ..or the worest feeling u ever got Who is credited with arranging the periodic table?. HELLLLLLPPPPPPPPPPPP PLEASE HELP IF ABLE TO xx The determination of the productivity of the inputs utilised in the manufacturing process is a critical component of management decision making. As we will see, these metrics are advantageous for assessing the performance of a manufacturing process and making profit- maximizing input selections. Total product, average product, and marginal product are the three most significant metrics of productivity. Explain with appropriate example. While Ganesh was walk home, he hearing a cry for help. Which state of matter of water is the most dense ?A. Gaseous water vapor B. Liquid waterC. Solid iceD. Water and ice are equally dense. A bycycling club has 18 members,of which 11 are males and the rest females. What is the ratio of males to all club members What kinds of maps do demographers use to show population density? Check all that apply.resource maps with shaded areaschoropleth maps with shaded areastopographic maps with shaded areasOdot density maps with dots in different numbersgraduated point maps with circles in different sizes "Sandy sinks to the shore silently" is an example of what poetic device? According to Census 2000, what is the national median age for the total population?4502535