From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skys

Question

3 years ago

7

From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skys

craper to be 16∘. If she is standing at a horizontal distance of 200 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.

Mathematics

1 answer:

exis [7] · Answer 1 · 2022-10-23T00:57:39+03:00

exis [7]3 years ago

7 0

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200

200 tan 16=x

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈ The skyscraper is 59.04 meters tall.