A kite is on a 35m string and is a horizontal distance of 22m from the flier. How high is the kite above the ground?

Question

I need help please!

Answer 1

Soh Cah Toa

 

We know the hypotenuse (length of kite string) and the adjacent side (22m).  We need to find the height above ground (opposite side).

 

To find the height, we first need to find the measure of the angle.

 

cos( angle ) = adjacent / hypotenuse = 22/35

 

cos^-1 ( 22/35) = angle = 51.055 degrees

 

 

Now we need to find the length of the opposite side (the height of the kite)

 

sin( 51.055 degrees) = opposite / hypotenuse = opposite / 35

 

35 * sin( 51.055 degrees) = opposite = 27.22 meters off the ground

 

 

Answer 2

Pythagorean Theorem

35²=22²+h²

1225=484+h²

741=h²

h=27.22 m