   Chapter 8.1, Problem 45E ### 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
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# Height A person 6 feet tall standing 16 feet from a streetlight casts a shadow 8 feet long (see figure). What is the height of the streetlight? To determine

To calculate: The height of streetlight h if the length of a shadow for a 6 feet long person is 8 feet. He is standing at a distance of 16 feet from the streetlight.

Explanation

Given Information:

The length of a shadow for a 6 feet long person is 8 feet. He is standing at a distance of 16 feet from the streetlight.

The figure provide below shows the position of a person from the street light.

Formula used:

When two triangles are similar or have equal angles then the ratio the two sides are equal and corresponding angles opposite to these sides are also equal.

Calculation:

Consider the triangle provided below.

From above diagram, the larger triangle is similar to the smaller triangle ΔABCΔEDC.

So, the unknown side h can be calculated by using property of similar triangles

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