Akite with a 100 foot-long string is caught in a tree. when the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. find the measure of the angle between the kite string and the ground.

The measure of the angle between the kite string and the ground is 72.54°.

Step-by-step explanation:

Given : A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree.

To find : The measure of the angle between the kite string and the ground.

Solution :

Refer the attached figure.

In a right angle ΔABC,

A kite with a 100 foot-long string is caught in a tree.

i.e, AC=100 ft.

Length of the string touches the ground a distance of 30 feet from the bottom of the tree.

i.e, BC=30 ft.

We have to find the angle C between the kite string and the ground.

Apply trigonometric function,

Therefore, The measure of the angle between the kite string and the ground is 72.54°.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome