The depth of a fishing lure being pulled through the water can be determined by the angle of depression where the line enters the water and the length of line that is let out from the surface of the water. Mr. Vaerst let out 80 feet of line forming a 30° angle of depression with the surface of the water. Determine the depth of his lure to the nearest tenth of a foot.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 15E
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The depth of a fishing lure being pulled through the water can be determined by the angle of depression where the line enters the water and the length of line that is let out from the surface of the water. Mr. Vaerst let out 80 feet of line forming a 30° angle of depression with the surface of the water. Determine the depth of his lure to the nearest tenth of a foot.
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Step 1

From the given information the current situation can be represents as shown below,

Advanced Math homework question answer, step 1, image 1

From the above figure it is clearly observed that, the value of sin30°=d80.

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