8.7 angles of elevation and depression
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8-7 Applications of Right Triangle Trigonometry
Objective:
1. I can distinguish between the angle of depression and the angle of elevation.
Definition: The angle of depression is the angle below the horizontal line that an observer must look in order to see an object that is lower than the observer
Definition: The angle of elevation is the angle above the horizontal line that an observer must look in order to see an object that is higher than the observer
Example 1
tan 51 =ℎ
2121 ∙ tan 51 = ℎ21 ∙ 1.2349 = ℎ
26 ≈ ℎ
The tree is about 26 ft. tall.
Example 2
tan 10 =25
𝑥
𝑥 =25
tan10
𝑥 ≈ 142
The boat is about 142 m from the base of the lighthouse.
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