A kite is flying 92ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 44°. Find the length

Question

Natali [406]

3 years ago

6

A kite is flying 92ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 44°. Find the length

of the string.

Mathematics

1 answer:

bearhunter [10] · Answer 1 · 2022-06-12T18:04:08+03:00

Answer:

132.4 feet

Step-by-step explanation:

This is a classic right triangle trig problem. We have the reference angle of 44, and we have the side length that is opposite the reference angle as 92, now we need the length of the string which is the hypotenuse. The trig ratio that relates the side opposite the reference angle to the hypotenuse is the sin ratio. Let's set it up:

$sin(44)=\frac{92}{x}$

Doing some algebraic manipulations with that gives us

$x=\frac{92}{sin(44)}$

Plug that into your calculator in degree mode and you get x = 132.4392