Question

Mary is flying a kite with a 50-meter string. The string is making a 50 degree angle with the ground. How high above the ground is the kite

Answer 1

38.3 meters to the nearest tenth.

Explanation:

sin 50 = opposite / hypotenuse

= height of the kite / length of the string

sin 50 = h / 50

h = 50 sin 50

= 38.3 meters (answer).

Answer 2

38.33 m

Explanation:

We are given that Mary is flying a kite with a 50 - meter string.

The string is making a 50 degrees angle with the ground

We have to find the height above the ground of the kite

Let x be the height of kite above the ground

`\theta=50^(\circ)`

Height of string =Hypotenuse

In aright angled triangle ABC

`sin \theta=(Opposite side of angle )/(Hypotenuse)`

Substitute the values then we get

`sin 50^(\circ)=(x)/(50)`

`0.766=(x)/(50)`

`x=50* 0.766`

`x=38.33 m`

Hence, the height of kite above the ground=38.33 m