Question

A hiker wants to determine the height of a tree. She measures the​ tree's shadow to be 20.7 meters long. Her own shadow at the same time is 1.8 meters long. If the hiker is 1.7 meters​ tall, how tall is the​ tree?

Answer 1

The tree is 19.55 meters tall.

Step-by-step explanation:

Shadow of tree = 20.7 meters

Height of tree = x

Hiker's shadow = 1.8 meters

Hiker's height = 1.7 meters

Using proportion

Shadow of tree : Height of tree :: Shadow of hiker : Height of hiker

$20.7:x::1.8:1.7$

Product of mean = Product of extreme

$20.7*1.7=1.8*x\\35.19=1.8x\\1.8x=35.19$

Dividing both sides by 1.8

$\frac{1.8x}{1.8}=\frac{35.19}{1.8}\\x=19.55$

The tree is 19.55 meters tall.

Keywords: ratio, proportion

Learn more about ratios at:

• brainly.com/question/4021035
• brainly.com/question/4034547

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