Distance between a Whale and a Lighthouse A whale researcher is watching a whale approach directly toward a lighthouse as she observes from the top of this lighthouse. When she first begins watching the whale, the angle of depression to the whale is 15 50'. Just as the whale turns away from the lighthouse, the angle of depression is 35° 40'. If the height of the lighthouse is 68.7 m, find the distance traveled by the whale as it approached the lighthouse. 15° 50 35 40

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 24E
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Distance between a Whale and a Lighthouse A whale researcher is watching a
whale approach directly toward a lighthouse as she observes from the top of this
lighthouse. When she first begins watching the whale, the angle of depression to
the whale is 15 50'. Just as the whale turns away from the lighthouse, the angle
of depression is 35° 40'. If the height of the lighthouse is 68.7 m, find the distance
traveled by the whale as it approached the lighthouse.
15° 50 35° 40
7.
||
Transcribed Image Text:Distance between a Whale and a Lighthouse A whale researcher is watching a whale approach directly toward a lighthouse as she observes from the top of this lighthouse. When she first begins watching the whale, the angle of depression to the whale is 15 50'. Just as the whale turns away from the lighthouse, the angle of depression is 35° 40'. If the height of the lighthouse is 68.7 m, find the distance traveled by the whale as it approached the lighthouse. 15° 50 35° 40 7. ||
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