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

Step-by-step 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

$\Rightarrow L^2=h^2+x^2\\\Rightarrow h^2=50^2-25^2\\\Rightarrow h=\sqrt{2500-625}=43.30\ ft$

The kite is flying 43.30 ft above the ground