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Martha is in a hot air balloon that has risen straight up from the launch point. Matthew is standing on the ground, 16 meters away from the launch point. If Martha and Matthew are 20 meters apart, how high has the balloon risen?

A: 12 meters B: 4 meters

C: 144 meters D: 36 meters

Martha is in a hot air balloon that has risen straight up from the launch point Matthew is standing on the ground 16 meters away from the launch point If Martha class=


Answer :

Parrain

Based on the distance between Martha and Matthew and the distance of Matthew from the launch point, the height of the balloon is 12 meters.

What is the height of the balloon?

The height of the balloon can be found by using the Pythagorean theorem as this situation models a right angled triangle.

The height of the balloon is:

Distance between Matthew and Martha² = Distance of Matthew from launch point² + Height²

20² = 16² + Height²

Height² = 20² - 16²

Solving gives:

Height² = 400 - 256

Height = √144

= 12 meters

Find out more on the Pythagorean theorem at https://brainly.com/question/343682

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