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sladkih [1.3K]
3 years ago
11

The height that a ball bounces varies directly with the height from which it is dropped. A certain ball bounces 30 cm when dropp

ed from a height of 50 cm. How high will the ball bounce if dropped from a height of 120 cm?
Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

The ball will bounce 72 cm high if dropped from a height of 120 cm

<u>Solution:</u>

Given, The height that a ball bounces varies directly with the height from which it is dropped.  

A certain ball bounces 30 cm when dropped from a height of 50 cm.  

We have to find how high will the ball bounce if dropped from a height of 120 cm?

Now, according to given information,

When dropped from 50 cm ⇒ bounces 30 cm

Then, when dropped from 120 cm ⇒ bounces "n"  cm

Now by Chris cross method, we get,

\begin{array}{l}{n \times 50=30 \times 120} \\\\ {\rightarrow n=\frac{30 \times 120}{50}} \\\\ {\rightarrow n=\frac{3600}{50}} \\\\ {\rightarrow n=72}\end{array}

Hence, the ball bounces 72 cm high.

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