A trigonometry student stands 25 meters from a building and measures the angle of elevation to the top of the building as 30â°. how accurate does her angle measurement have to be if she wants her propagated percentage error in estimating the height of the building to be no more than 5%?

Answers

Answer 1

Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:

[tex]\tan{30^\circ} = \frac{h}{25}[/tex]

[tex]h = 25\tan{30^\circ}[/tex]

h = 14.43.

For an error of 5%, the bounds of h are as follows:

[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]

[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]

Hence, the angles will be given by:

[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]

[tex]\alpha = 28.8[/tex]

[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]

[tex]\alpha = 31.2[/tex]

Hence the angle measurement has to be within 1.2º of 30º.

More can be learned about the slope concept at https://brainly.com/question/18090623


Related Questions

Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
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Estimated solution:
Part B
Solve the system algebraically,
Show your work
I need help like I get it at some points and some at nun

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this is the graph for y =4x+2

Six more than the product of 24 and Carlos's savings ​

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Answer:

24c + 6

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A circle has a diameter of length 11 cm. What is the length of the radius?

Answers

5.5 is the radius of the circle

5.5

Step-by-step explanation:

radius = diameter÷2

diameter = 11

so Length of Radius will be 11÷2

which will be 5.5

Question
Find the surface area of the cube.



The surface area is
square yards.

Answers

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

No trolls or links or i will report

Answers

Answer:

92.4 ft²

Step-by-step explanation:

Total surface area comprises one rectangular base and two pairs of diferent triangles.

Area of rectangle

A = lw

Area of triangle

A = 1/2bh

Substitute and find

A = 7*4 + 2(1/2*4*6.3) + 2(1/2*7*5.6) = 92.4 ft²

Area of base rectangle

7(4)28ft²

Area of rest triangles

2(1/2BH)+2(1/2bh)BH+bh4(6.3)+7(5.6)64.56ft²

Now

TSA

64.56+2892.56ft²

Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

r=8Angle=π/2

Arc length

L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6units

8. What is m<1
77
1
56
A 103°
| C 133°
C °
D 124°
B 47°

Answers

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

∠I = 77° + 56°

    = 133°

» Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10°. An angle that turns through 1 of a circle has a measure of 1°. 12 An angle that turns through 10 360 of a circle has a measure of 36°. 1) An angle that turns through 1 of a circle has a measure of 12°.​

Answers

The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°

the correct answer would be an angle

how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP

Answers

Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

Answer number 11 please. Thank you.

Answers

Answer:

A po 232.5n mm²

Step-by-step explanation:

#carryonlearning

A square piece of glass has sides that are 7 centimeters long. What is the piece of glass's area?

Answers

49cm^2

All lengths are equal in a square

A= b x h

= 7 x 7

=49

Hope this helps!

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answers

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

Solve for x………………………..

Answers

Answer:

85

Step-by-step explanation:

a² + b² = c²

13² + 84² = x²

x = 85

What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0)

Answers

Answer:

its all about reletives so if u take the number then multiply by five u get 56.3

Step-by-step explanation:

u know

Please help me con la resolución porfa

Answers

Answer:

2,591 esta bien la respuesta

What are the answers for these questions

Answers

Answer:

4 = 151.70

5a=75.85

Step-by-step explanation:

i will marke brainliest. what is If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Heres a hint think about how many words are in the number when it is in word form

Answers

Answer:

3

Step-by-step explanation:

Count the number of letters

1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 letters

Change integers to strings and put them

1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5

Hence answer is 3

use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0

Answers

Answer:

One solution

Step-by-step explanation:

Discriminant

[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]

[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]

[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]

Given equation:

[tex]-8x^2-8x-2=0[/tex]

Swap sides:

[tex]\implies 8x^2+8x+2=0[/tex]

Using discriminant:

[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]

Therefore, there is one solution

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

Proof

[tex]8x^2+8x+2=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2+4x+1=0[/tex]

Separate the middle term:

[tex]\implies 4x^2+2x+2x+1=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (2x+1)(2x+1)=0[/tex]

Therefore:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=-\dfrac12[/tex]

Thus proving there is one solution.

-8x²-8x-2=0

Here

a=-8b=-8c=-2

Discriminate

D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0

Roots are equal hence one solution

Match the vocabulary word with the correct definition.

Answers

Answer:

A. Variable

B.  Unit Rate

C. Inverse Operations

D.System of linear equations

I can't figure out the range please help

Answers

Answer:

5

Step-by-step explanation:

range is biggest number minus smallest number.

First arrange the numbers from least to greatest.

4, 4, 5, 6, 8, 9, 9

Subtract the biggest number, 9, from the smallest number, 4.

9 - 4 = 5

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent. ​

Answers

Answer:

thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent

Solve this inequality
2x2 – 15x < 27

Answers

the answer to this problem would be x>-23/15

Express the ratio below in its simplest form
2.5 : 3.5

Answers

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

What is the surface area of this right prism?

48 in²

84 in²

96 in²

120 in²

Answers

Answer:

It's 96

Step-by-step explanation:

-The left and right rectangles
5*4=20

(5*4)*2=40


-Triangle (front and back)
8*3/2=12

(8*3)/2*2=24


-Bottom Triangle (base)

8*4=32


-Area
=40+24+32
=96

Answer: 96 in^2

Step-by-step explanation: I took the quiz and got it right!! Hope this helps you, have a beautiful day!! :)

solve major part of my grade <33

Answers

0 3 6 9 12 15 18

(each tick mark = +3)

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....

Answers

It is not 6 or 11 so the only other option is 16 and because

If the probability that the Islanders will beat the Rangers in a game is 85%, what is the probability that the Islanders will win exactly three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

.138


.037


.158


.232

Answers

The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as

P(x=3)=0.26367

What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?

Generally, the equation for the probability is mathematically given as

P(x=3)=nC3 (P)^r (q)^{n-r}

Therefore

P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}

P(x=3)=10 (0.75)^3 (0.25)^{5-3}

P(x=3)=0.26367

In conclusion, The probability of the islander

P(x=3)=0.26367

Read more about probability

https://brainly.com/question/795909


which table of inputs values, x, and output values, y, represents functions
select each answer​

Answers


2|93|??|8Multiple choiceA. X=2,y=6B.x=3,y=9C.x=1,y=7D.x=4,y=8

Please help with the proportions word problem!!

Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.

Answers

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

All you need to is 80-24=56 so your answer is 56

PLEEEEEAAAASEEE HELPPPPPP

simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3

Answers

Answer:

Simplified: -4a²b²+18a³-2b³

3a(6a²-4ab²)+8a²b²-2b³

Multiply 3a by 6a² and-4ab²

18a³-12a²b²+8a²b²-2b³

combine like terms (-12a²b² and 8a²b²)

-4a²b²+18a³-2b³

Hope this helps

Step-by-step explanation:

Here we have to simplify the polynomial :

[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]

Using Distributive property we get :

[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]

Combining the like terms we get :

[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]

Therefore,

The Simplified expression is [tex] \sf 18^3-4a^2b^2-2b^3[/tex]

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