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Chapter 8: Q. 52 (page 517)

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be25掳, how far offshore is the boat?

Short Answer

Expert verified

Hence, the boat is approx 214.4542 feet far from the vertical cliff.

Step by step solution

01

Given Information

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be 25掳.

02

Solution

We can draw a figure as: -

So, in 鈻�ABCwe have to find BC.

Therefore,

tan(C)=ABBC

tan(25掳)脳BC=ABBC=ABtan(25掳)BC=1000.46630BC鈮�214.4542

03

Final Answer

Hence, the boat is approx 214.4542 feet far from the vertical cliff.

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