Question

A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height is 25°. Find the height of the kite above the ground.

Answer 1

Answer: 45.26 feet

Step-by-step explanation:

From the given information, it will make a right triangle, in which hypotenuse =   the length of the string = 100 feet

Let x denote the the height of the kite above the ground.

By trigonometry,

$\sin25^{\circ}=\frac{\text{side opposite to the angles }}{\text{hypotenuse}}\\\Rightarrow\ 0.4226=\frac{x-3}{100}\\\Rightarrow\ x-3=42.26\\\Rightarrow\ x=42.26+3\\\Rightarrow\ x=45.26$

Hence, the height of the kite above the ground = 45.26 feet.