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
zepelin [54]
3 years ago
12

From a window 20 feet above the ground, the angle of elevation to the top of a building across

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

You might be interested in
For what value of c is the rational expression below undefined?  x-3/3+x
Temka [501]

No, the answer is 21.

4 0
3 years ago
A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order
ELEN [110]
The correct answer is B, 14 boxes of pens
8 0
3 years ago
Read 2 more answers
Joe has read 140 pages of his 300 page book what percentage has he read please show work
Lostsunrise [7]
140/300=14/30
14/30=7/15
So 7/15 is _
46.6%
8 0
3 years ago
Which person is more likely to have more wealth upon retirement?
Xelga [282]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
N January, the price of a dozen eggs at a grocery store was $0.89. By June, the price had increased to $0.99. What was the perce
Anika [276]
11.236% increase
hope this helped
3 0
3 years ago
Other questions:
  • Is -29/8 greater than -3.62
    10·1 answer
  • A fish tank, in the shape of a rectangular prism with dimensions 40 in. by 17 in. by 26 in., is 95% filled with water. A solid l
    11·1 answer
  • What's a type of expression that contains a variable or variables
    10·1 answer
  • Derek and his friends shared two small pizzas.Derek ate 7/6 of the pizzas.Which mixed number shows how much pizza Derek ate?
    8·2 answers
  • 30 points if you answer
    14·1 answer
  • Convert the length of 7 centimeters to meters. Compare the numerical values when both numbers are written in scientific notation
    13·1 answer
  • In the formula l=p+prt, what does l equal when p=500,r=20%, t=2
    13·1 answer
  • Can someone help plz
    7·1 answer
  • What do I do I don’t know the answer
    7·1 answer
  • A plant that is 6 inches tall grows 1 inch each week. Another plant is 4 inches tall and grows 2 inches each week
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!