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?
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.