Chapter 11.CR, Problem 21CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Review exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit.*

In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the top of the tree to the tip of the shadow is

To determine

**To find:**

what is the length of the shadow.

Explanation

**Procedure used:**

In any right triangle ABC with

**Calculation:**

**Given:**

Height of the tree

Length of the shadow

Angle of depression of the shadow

Let us structure the given figure as follows as a right triangle.

In the above figure CZ is parallel to AB and CA is the transversal.

Thus, by the property that the alternate interior angles are equal, we have

Thus, in

(i

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