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3 years ago

A person can see the top of a building at an angle of 65°. The person is standing 50 ft away from

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

9514 1404 393

Answer:

(b) 112.2 ft

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

For the given geometry, this becomes ...

tan(65°) = (height above eye level)/(50 ft)

Then we have ...

(height above eye level) = (50 ft)tan(65°) = 107.2 ft

Adding the height of eye level will give us the height of the building.

building height = (eye level height) + (height above eye level)

building height = (5 ft) + (107.2 ft)

building height = 112.2 ft

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