Question

A building in a downtown business area casts a shadow that measures 88 meters along the ground. the straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. what is the approximate height of the building? round your answer to the nearest meter.

Answer 1

As the building is 88 meters along the around and the shadow makes with a straight line of 32 degrees it would equal 55 meters high.

Answer 2

Answer:

The height of building is 55 m

Step-by-step explanation:

   Given : A building in a downtown business area casts a shadow that measures 88 meters along the ground. and also given the shadow creates a 32° angle with the ground.

We have to determine the approximate height of the building.

Consider the Δ ABC, where AB be the building and BC be the shadow it cast on ground.

Then BC = 88 m and measure of angle  C = 32°

Let h be the height of building.

Using trigonometric ratios,

$\tan\theta=\frac{Perpendicular}{base}$

Here,  Perpendicular = h

base = 88

and $\theta=32^{\circ}$

Substitute, we have,

$\tan32^{\circ}=\frac{h}{88}$

Solve, for h, we have,

$h=tan\:32^{\circ }\cdot 88$

Simplify, we have,

h=54.98

Thus, The height of building is 55 m