Question

Paige is in a hot air balloon that has just taken off that has just taken off and is floating above its launching point . Ryan is standing on the ground, 12 meters away from the launching point. If Paige and Ryan are 15 meters apart, how high up is Paige

A. 15 meters
B. 12 meters
C. 7 meters
D. 9 meters

Answer 1

D

Explanation:

Because you have to add

Answer 2

Paige is 9 meters above the ground.

Explanation:

If we visualize the scenario, we can say that the situation produces a right triangle.

We have to find the height.

The hypotenuse (Paige and Ryan are 15 meters apart,) is 15 meters

The base (Ryan is standing on the ground, 12 meters away from the launching point.) is 12 meters

So, we can find the height.

Let height be = h

`h^(2) +12^(2) =15^(2)`

=>
`h^(2) =15^(2) -12^(2)`

=>
`h=\sqrt{15^(2)-12^(2) }`

=>
`h=√(225-144)`

=>
`h=√(81)`

=>
`h=9` meters

Therefore, Paige is 9 meters above the ground.