A building casts a shadow 23 feet long when the angle of elevation of the sun is 52. How do you find the height of the building correct to the nearest integer?

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Answer 1 · 2016-11-21T11:36:15

The height of the building to the nearest integer is #29# feet.

Angle of elevation of the sun is #theta=52^0#

Length of the shadow of building be #l=23# feet

Height of the building be #h=?# feet.

Here it forms a right angled triangle ABC of which AC (ht) is the

perpendincular and AB (shadow) be the base of the tringle and

#theta# be the angle of elevation of the sun.

Therefore , # tan theta= (AC)/(AB)=h/l or tan 52=h/23 or h=23*tan52=29.4386=29 feet#.

The height of the building to the nearest integer is #29# feet [Ans]