Height of a Kite

A 100-foot line is attached to a kite. When the kite has pulled the line taut, the angle of elevation to the kite is approximately 50°. Now everybody lets approximate the height of the kite!

sin50=x/100

0.7760=x/100
76.60ft

To approximate the height of the kite, we can use trigonometry.

First, let's define the trigonometric ratio we can use in this scenario. The tangent ratio (tan) relates the angle of elevation to the opposite side and adjacent side of a right triangle.

In this case, the opposite side is the height of the kite (h), and the adjacent side is the length of the line (100 ft). The angle of elevation is 50°.

Using the tangent ratio, we have:

tan(50°) = h/100

To find the value of h, we can rearrange the equation:

h = 100 * tan(50°)

Now we can use a scientific calculator to find the approximate value. Performing this calculation, we get:

h ≈ 100 * tan(50°) ≈ 100 * 1.191 ≈ 119.1 ft

Therefore, the approximate height of the kite is 119.1 feet.

let's!

h/100 = sin 50°

so, h = ?

64