from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees. how far is the ship from the base of the lighthouse? round asnwer to nearest foot. =_________ft

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 6E
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from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees. how far is the ship from the base of the lighthouse? round asnwer to nearest foot.

=_________ft

Expert Solution
Step 1

Given the angle of depression to a ship in the ocean is 27degrees.

Height of the light house=300ft

A Triangle is formed by the light house, ground and ship. The angle of depression is not in the triangle, but it is equal to angle of elevation of ship(alternate angles are equal).

Step 2

Calculus homework question answer, step 2, image 1

Let AB be the tower, C be the ship

Then BC is to be found

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