An eagle 300 feet in the air spots its prey on the ground. The angle of depression to its prey is 18 degrees. What is the straight-line distance from the eagle to its prey? Round to the nearest foot.
Answers
Given : An eagle 300 feet in the air spots its prey on the ground.
The angle of depression to its prey is 18 degrees.
To Find : What is the straight-line distance from the eagle to its prey? Round to the nearest foot.
Solution:
An eagle 300 feet in the air spots its prey on the ground.
Height of Eagle = 300 feet
The angle of depression to its prey is 18°
angle of depression = angle of elevation
straight-line distance from the eagle to its prey = h feet
Sin (angle of elevation ) = Height / straight-line distance from the eagle to its prey
=> Sin 18° = 300/h
=> h = 300/ Sin 18°
=> h = 300/0.309
=> h = 970.8
=> h = 971 feet
straight-line distance from the eagle to its prey = 971 feet
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