A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of the top of a cliff is 40° and the angle of depression of the base is20°. Find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level.

A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of the top of a cliff is 40° and the angle of depression of the base is20°. Find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section6.1: Solving Trigonometric Equations

Problem 94PS

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Question

A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of
the top of a cliff is 40° and the angle of depression of the base is20°. Find the distance of the cliff
from the ship and the height of the cliff if the base of the cliff is at sea level.

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