Question

Luke is flying a kite and realizes that 400 feet of string are out. The angle of the stream with the ground is 50°. How high is Luke’s kite above the ground

Answer 1

Luke's kite is 306.4 feet high above the ground

Explanation:

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

We can solve the problem using trigonometric ratio;

that is;

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ= adjacent/hypotenuse

tanФ=opposite/adjacent

From the diagram below:

opposite = x where x represents the height of Luke's kite above the ground

hypotenuse = 400

Ф = 50

The best trig ratio to use is sin

sinФ = opposite / hypotenuse

sin 50° =
`(X)/(400)`

cross-multiply

x = 400 sin 50°

x≈306 .4 feet

Luke's kite is 306.4 feet high above the ground