Question

A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet

Answer 1

The height of the kite above the ground is 102 .44 feet

Explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet