Question

11) Peyton is sitting on the ground at the park flying a kite. The length of the kite string is 50 feet and the kite is directly above a tree. Peyton is sitting 25 feet away from the tree. How high is the kite flying in the air? Round to the nearest tenth.

Answer 1

Answer: 43.30 ft

Explanation:

Given

The length of the string is
`L=50\ ft`

Distance between Peyton and the tree is
`x=25\ ft`

Using the figure, apply Pythagoras theorem

`\Rightarrow L^2=h^2+x^2\\\Rightarrow h^2=50^2-25^2\\\Rightarrow h=√(2500-625)=43.30\ ft`

The kite is flying 43.30 ft above the ground