In order to find the height of a cliff, you stand at the bottom of the cliff, walk 60 feet from the base, and place a mirror on the ground. Then you face the cliff and step back 5 feet so that can see the top of the cliff in the mirror. Assuming your eyes are 5 feet above the ground, explain how to use this information to find the height of the cliff. (The angles marked congruent are congruent because of the nature of the reflection of light in a mirror.) Round to the nearest foot. M 5 ft Q sft 60 ft K Mirror

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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In order to find the height of a cliff, you stand at the bottom of the cliff, walk 60 feet from the base, and
place a mirror on the ground. Then you face the cliff and step back 5 feet so that can see the top of the
cliff in the mirror. Assuming your eyes are 5 feet above the ground, explain how to use this information to
find the height of the cliff. (The angles marked congruent are congruent because of the nature of the
reflection of light in a mirror.) Round to the nearest foot.
M
5 ft
K
Q ft
60 ft
Mirror
The height of the cliff is about
feet.
Transcribed Image Text:Question In order to find the height of a cliff, you stand at the bottom of the cliff, walk 60 feet from the base, and place a mirror on the ground. Then you face the cliff and step back 5 feet so that can see the top of the cliff in the mirror. Assuming your eyes are 5 feet above the ground, explain how to use this information to find the height of the cliff. (The angles marked congruent are congruent because of the nature of the reflection of light in a mirror.) Round to the nearest foot. M 5 ft K Q ft 60 ft Mirror The height of the cliff is about feet.
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