Need help with this trigonometry word problem A kite is flying at a height of 65 m attached to a string. If the inclination of the string with the ground is 31°, find the length of string.
Show your work please

Step-by-step explanation:

We are given that right triangle has an opposite side of 65m and it has a 31° angle. We must find the hypotenuse.

SOH CAH TOA

We see that sine is opposite/hypotenuse so sin 31 = 65/x, where x representing the hypotenuse.

x * sin(31) = 65

Divide both sides by sin(35) using your calculator

x = 65/ sin(65) = 126.2m

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get