   Chapter 8.2, Problem 4CP ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Find the height of a building that casts a 75-foot shadow when the angle of elevation of the sun is 35 ° .

To determine

To calculate: The height of a building when the length of the shadow of the building is 75 ft and angle of elevation of sun is 35°.

Explanation

Given Information:

The length of the shadow of the building is 75 ft and angle of elevation of sun is 35°.

Formula used:

From the definition of the right triangle,

Where opp is the length of the side opposite to angle θ and adj is the length of the side adjacent to angle θ

Calculation:

Consider y be the height of the building.

The diagram for the triangle that represents the shadow and height of the building is shown below.

From the above figure, the definition of right angle triangle,

tanθ=yx

Where y is the height of the building and x is the length of the shadow

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