asked 7.8k views
1 vote
From the top of a lighthouse 55 feet above sea level, the angle of depression to a small boat is 11.3*. How far is the boat from the base of the lighthouse? *

asked
User Mxmtsk
by
8.3k points

1 Answer

4 votes

Answer:

275.248 ft

Explanation:

this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.

answered
User Dayton Tex
by
8.2k points

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