Question

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

Answer 1

Answer:
`45.03\ ft`

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)=(h)/(78)\\\\h=78\tan 30^(\circ)\\\\h=45.03\ ft`

The height of the building is 45.03 ft