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tatyana61 [14]
3 years ago
8

From the top of a building 42 feet high, the angle of depression to a car stopped on the ground it is 27°. What is the distance

from the car to the base of the building?
Geography
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

82.43\ \text{feet}

Explanation:

Angle of depression = 27^{\circ}

b = Height of building = 42 feet

\theta=90-27=63^{\circ}

p = Distance from the car to the base of the building

From the trigonometric identities we get

\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=42\tan63^{\circ}\\\Rightarrow p=82.43\ \text{feet}

The distance from the car to the base of the building is 82.43\ \text{feet}.

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