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Chapter 8: Q 595. (page 1027)

Tony is 5.75feet tall .Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32feet long. Find the height of the tree.

Short Answer

Expert verified

The height of the tree23.

Step by step solution

01

Step 1. Given information.

Draw a figure.

We are looking for h, the height of the tree.

We will use similar triangles to write an equation.

The small triangles is similar to the large triangles.

role="math" localid="1648663033035" h32=5.758

02

Step 2. Find the value of h.

h32=5.758

Multiply both sides by the LCD =32

325.758=32h3223=h

So the height of tree23.

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