4. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter light house. You look down to see a boat and measure the angle of declination to be 17.5 degrees. How far away is the boat from the base of the lighthouse?

4. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter light house. You look down to see a boat and measure the angle of declination to be 17.5 degrees. How far away is the boat from the base of the lighthouse?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

4. You are on vacation sight-seeing at the coast and climb up to the
top of a 50-meter light house. You look down to see a boat and
measure the angle of declination to be 17.5 degrees. How far away is
the boat from the base of the lighthouse?

Expert Solution

Step 1

Given that: $H e i g h t o f l i g h t h o u s e, h = 50 m A n g l e o f d e l c i n a t i o n, \emptyset = 17.5 ° .$

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