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Natalka [10]
2 years ago
14

From where Kiana is standing, she must look up at a 50° angle to see the top of a building. If she backs up 50 feet, she will ne

ed to look up at a 40° angle to see the top of the same building. Approximately how tall is the building?

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
5 0
For this case, what we must do is solve the following system of equations:
 tan (50) = h / x
 tan (40) = h / (x + 50)
 Solving the system we have:
 (x + 50) * tan (40) = h
 (x) * tan (50) = h
 Matching:
 (x + 50) * tan (40) = (x) * tan (50)
 Rewriting:
 x (tan (50) - tan (40)) = 50 * tan (40)
 x = 50 * tan (40) / (tan (50) - tan (40))
 x = 118.9692621
 Substituting:
 h = (x) * tan (50)
 h = (118.9692621) * tan (50)
 h = 141.7820455
 Answer:
 
The height of the building is:
 
h = 141.7820455 ft
Vikentia [17]2 years ago
5 0

Answer:

B. 141.8ft

Step-by-step explanation:

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The area of this rectangle is 30 m^2 . which is the perimeter of the rectangle ?
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3 years ago
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There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
Morgarella [4.7K]

altogether there are 7 marbles in the bag.

put the marbles in fractions, so blue would be 3/7

and red would be 4/7. but becuase you need 2 of the same, you do

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8 0
2 years ago
a pet survey found that the ratio of dogs to cats is 2.5.which proportion shows the number of dogs if the number of cats is 140?
Zinaida [17]
140*2.5= 350, so the proportion is 350/140
3 0
3 years ago
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If DM = 35, what is the value of r?
Gennadij [26K]

Answer:

r = 11

Step-by-step explanation:

Given

DM = 35

DG = r + 5

GM = 3r - 14

Required

Find r

From the question, we understand that G is a point between D and M:

This implies that:

DM = DG + GM

Substitute values for DM, DG and GM

35 = r + 5 + 3r - 14

Collect Like Terms

r + 3r = 35 - 5 + 14

4r = 44

Solve for r

r = 44/4

r = 11

3 0
3 years ago
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