Question

The length of a string between a kite and a point on the ground is 90 m. If

Answer 1

Answer:

79.4 m

Step-by-step explanation:

In this problem we deal with a right triangle with hypotenuse 90 m.  We are told that tan Ф = 15/8; 15 represents the vertical distance of the kite off the ground and 8 represents the horizontal distance from the kite flyer to the kite.  This is sufficient info from which to determine the angle of elevation from kite flyer to kite:  tan Ф = 15/8 yields Ф =  1.08 radians.

Using this same angle Ф = 1.08 radians, sin Ф = (vertical distance) / hypotenuse = sin 1.08 rad = 0.882.

Then the vertical distance (height of the kite) is

(90 m)(0.882) = 79.4 m