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Chapter 8: Q 596. (page 1027)

The height of a lighthouse in Pensacola, Florida is 150feet .Standing next to the statue, 5.5foot tall Natalie cast a 1.1foot shadow. How long would the shadow of the lighthouse be?

Short Answer

Expert verified

The shadow of the lighthouse=30.

Step by step solution

01

Step 1. Given information.

Draw a figure.

We are looking for sthe shadow of the lighthouse.

We will use similar triangles to write an equation.

The small triangles is similar to the large triangles.

150s=5.51.1

02

Step 2. Find the value of s.

150s=5.51.1

Multiply both sides by the LCD =1.1路s

1.1脳s150s=1.1脳s5.51.11.1路150=s路5.5150=s路530=s

So the shadow of the lighthouse=30.

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