Question

Tom went to the park on a windy day to fly his kite. He released 40 feet of string at an angle of elevation of 36. How high is his kite in the air?

Answer 1

The diagram representing this scenario is shown below

h represents how high the kite is in the air.

The triangle formed is a right triangle. Taking 36 degrees as the reference angle,

hypotenuse = 40

opposite side = h

We would find h by applying the sine trigonometric ratio which is expressed as

Sinθ = opposite side/hypotenuse

By substituting the values,

Sin 36 = h/40

By crossmultiplying, we have

h = 40Sin36

h = 23.51

The height of the kite in the air is 23.51 feet