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Chapter 7: Q.455. (page 639)

Francesca is 5.75feet tall. Late one afternoon, her shadow was 8feet long. At the same time, the shadow of a nearby tree was32ft long. Find the height of the tree.

Short Answer

Expert verified

The height of the tree is23feet.

Step by step solution

01

Step 1. Given information.

The height of Francesca is 5.75feet tall and the height of her shadow was 8feet long.

At the same time the shadow of a nearby tree was 32feet long.

02

Step 2.  To find the height of the tree.

Let xrepresents the height of the tree.

The required proportion is:

5.758=x32

Use cross-product property to solve the above proportion.

5.758=x325.75脳32=8xx=5.75脳328x=5.75脳4x=23

03

Step 3. Simplified answer.

Hence, the height of the tree is23feet.

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