Question

You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.

Answer 1

Answer:

18 yards

Step-by-step explanation:

To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:

$c^{2} = a^{2} + b^{2}$

Where:

c: is the length of the hypotenuse

a and b: are the length of the sides of the triangle

We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:

$a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18$                          

Therefore, the height of the kite is 18 yards.

I hope it helps you!