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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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 $29$ $29$ feet.

Explanation:

Angle of elevation of the sun is $θ = 52^{0}$ $theta=52^0$

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

Height of the building be $h = ?$ $h=?$ 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

$θ$ $theta$ be the angle of elevation of the sun.

Therefore , $tan θ = \frac{A C}{A B} = \frac{h}{l} or tan 52 = \frac{h}{23} or h = 23 \cdot tan 52 = 29.4386 = 29 f e e t$ $tan theta= (AC)/(AB)=h/l or tan 52=h/23 or h=23*tan52=29.4386=29 feet$ .

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

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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?

1 Answer

Explanation:

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