1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
3 years ago
5

A surveyor determines that the angle of elevation to the top of a building from a point on the ground is 31∘. he then moves back

57.1 feet and determines that the angle of elevation is 23.8∘. what is the height of the building?
Mathematics
2 answers:
atroni [7]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

The height of the building is 94.29 feet.

<h2>Why?</h2>

To solve the problem, we need to consider that two triangles are formed depending on the distance where the surveyor is standing.

We have a first triangle which its base will be called "x" and its height will be called "h" with an angle of elevation from a point on the ground, equal to 31°.  

Also, we have a second triangle which base is equal to "x" + 57.1 feet, and a height "h", with an angle of elevation from a point on the ground, equal to 23.8°

We need to use a trigonometric identity that establishes a relationship between the height and the base. So, using the tangent trigonometric identity, we have:

Tan(\alpha)=\frac{Opposite}{Adjacent}

For the first triangle:

Tan(31\°)=\frac{h}{x}

0.60=\frac{h}{x}

h=0.60*x=0.60x

For the second triangle:

Tan(23.8\°)=\frac{h}{x+57.1feet}

0.44=\frac{h}{x+57.1feet}

(0.44)*(x+57.1feet)=h

h=0.44x+25.14feet

Then, making both equation equals, in order to find "x", we have:

0.60x=0.44x+25.14feet

0.60x-0.44x=25.14feet

0.16x=25.14feet

x=\frac{25.14feet}{0.16}=157.13feet

Then, we substituting "x" into any of the equations, we have:

Substituting into the first equation:

h=0.60*x\\\\h=0.60*(157.13feet)=94.29feet

Hence, the height of the building is 94.29 feet.

Have a nice day!

SVETLANKA909090 [29]3 years ago
3 0

Answer:

B and E

Step-by-step explanation: Because it is that on edge

You might be interested in
Bob and rob in ratio 3:4 and their age 4 years ago was 5:7 find their ages
Trava [24]

Answer:

Present Day:

Bob:Rob:Difference

 3   :  4  :        1

 6   : 12  :       2

4 years ago:

Bob:Rob:Difference

    5 : 7 : 2

6 0
2 years ago
What is the missing number
Anna35 [415]

Answer:

I got 235, which works in perfectly into the problem...

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One weekend, a newsstand sold twice as many Sunday papers as Friday papers. The Sunday paper costs $1.50, and the Friday paper c
alisha [4.7K]

Answer:

31

Step-by-step explanation:

Lets say Friday papers are x

Saturday papers are 2x

Total cost of Friday papers are .75x

Total cost of Saturday papers are 3x

.75x+3x=116.25

3.75x=116.25

X=31

3 0
3 years ago
Can anyone explain how to awnser -72/7 × -48/11?
kkurt [141]
Maybe search up Algebra calculator and type in the equation? idk
8 0
3 years ago
How does the graph of g(x) = −(x + 3)^4 compare to the parent function of f(x) = x^4
umka2103 [35]

Answer:

D) g(x) is shifted 3 units to the left and reflected over the x-axis

Step-by-step explanation:

The reflection -f(x) indicates a reflection in the x-axis. <u>+</u> means that it shifts to the left.

5 0
3 years ago
Other questions:
  • First ten nonzero multiples of 10
    15·1 answer
  • Your turn!<br> Problem 1<br> Determine the translation that maps point B(2, 1) to point B'(-4,5).
    5·1 answer
  • there are 74 children at a camp . there are 38 girls. the rest are boys. how many boys are at the camp
    6·2 answers
  • What’s the answer?? (SOMEONE PLEASE HELP ME)
    10·1 answer
  • I'm a election 4713 people voted candidate B received 2 thirds of the votes. How many votes did candidate b receive
    6·1 answer
  • Nicole wants to measure the height of a tree. She sights the top of the tree, using a mirror that is lying flat on the ground. T
    7·1 answer
  • In ΔBCD, \overline{BD}
    14·1 answer
  • Please help i have been trying to figure this out for like an hour
    8·1 answer
  • How many solutions are there for this equation?
    13·1 answer
  • What is the value of X
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!