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Chapter 8: Q.29 (page 553)

Finding the Distance to Shore The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of Lake Michigan, as indicated in the figure on the top right. An observer in a pleasure boat on the lake directly in front of the Willis Tower looks at the top of the tower and measures the angle of elevation as 5°. How far offshore is the boat?

Short Answer

Expert verified

The length of the boat from shore =11339.2 ft

Step by step solution

01

Step 1. Given information   

The given data is Heightoftower(P)=1454ftDistanceoftowerfromboat(b)=?

02

Step 2. Find the distance of a tower from a boat

By using the trigonometry rule,

tan5=PBtan5=1454BB=1454tan5=16619.3ft

03

Step 3. Find the length of  a boat from ashore

B=1661

1mile=5280ft

length of the boat from shore+5280=16619.3

length of the boat from shore =11339.2 ft

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