Question

Kyra is standing 50 feet from the kite she is flying. The string of the kite forms an angle of 27° with the ground. How high in the air is the kite?

Answer 1

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

The angle formed by the string of the kite and the ground is 27°.
Let's call the height of the kite h.

Using the trigonometric function tangent (tan), we have:

tan(27°) = opposite / adjacent

where opposite is the height of the kite (h) and adjacent is the distance from Kyra to the kite (50 feet).

Therefore, we can write the equation as:

tan(27°) = h / 50

To find h, we can rearrange the equation:

h = tan(27°) * 50

Using a calculator, we find:

h ≈ 23.15 feet

Therefore, the kite is approximately 23.15 feet high in the air.