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Roman55 [17]
2 years ago
6

How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?

Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer: 45.03\ ft

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is \theta =30^{\circ}

Suppose the height of the building is h

From the figure, we can write

\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft

The height of the building is 45.03 ft

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