Question

A tree shadow is 95 cm long. At the same time of the day Samantha stands next to the tree in measures her shadow to be 30 cm long. Samantha is 150 cm tall. What is the height of tree in centimeters

Answer 1

The height of tree is 475cm.

Step-by-step explanation:

Given,

Shadow of Samantha = 30cm

Actual height of Samantha = 150cm

Ratio of Shadow to actual height of Samantha = 30:150

Shadow of tree = 95cm

Actual height of tree = x

Ratio of shadow to actual height of tree = 95:x

Using proportion,

Ratio of Shadow to actual height of Samantha :: Ratio of shadow to actual height of tree

$30:150::95:x$

Product of mean = Product of extreme

$150*95=30*x\\14250=30x\\30x=14250$

Dividing both sides by 30;

$\frac{30x}{30}={14250}{30}\\x=475$

The height of tree is 475cm.

Keywords: ratio, proportion

Learn more about ratios at:

• brainly.com/question/3414323
• brainly.com/question/3451297

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