Question

A kite is fllying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the angle, to the nearest degree, that the string makes with the ground

Answer 1

The answer is sin θ = 115/150

Answer 2

x = 50.05549481°

x ≈ 50.06°

Explanation:

The diagram makes a right-angles triangle; therefore we can use trigonometry.

`Sin(Opposite)/(Hypotenuse) , Cos(Adjacent)/(Hypotenuse) ,Tan(Adjacent)/(Opposite)`

The hypotenuse is the side opposite the right angle - 150

The oppositite is the side opposite the angle in question - 115

The angle in question - x

We will use the formula:

`Sin(Opposite)/(Hypotenuse)`

`Sinx(115)/(150)`

x = 50.05549481°

This is often rounded to 2 decimal places

x ≈ 50.06°