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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掳. 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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