Akite on a 160-foot string is caught on a pole. when the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 50 feet from the bottom of the pole. the string forms an angle of ° with the ground when it is stretched like this.

String form an angle of 18.2° with the ground.

Step-by-step explanation:

Given: Length of the string of a kite = 160 ft.

           Kite stuck on pole at height of = 50 ft.

We need to find: Measure of angle formed by string of kite with ground.

Attached figure showing the given situation.

let α be the required angle.

In ΔABC,

using trigonometric ratio,

Therefore, String form an angle of 18.2° with the ground.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are