Answer:
Luke's kite is 306.4 feet high above the ground
Step-by-step 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° = [tex]\frac{X}{400}[/tex]
cross-multiply
x = 400 sin 50°
x≈306 .4 feet
Luke's kite is 306.4 feet high above the ground
