Kyra is starting 50 feet from the kite she is flying. the string of the kite forms an angle of 27 degrees with the ground. how high in the air is the kite?
To find the height of the kite, we can use the trigonometric function tangent.
The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side. In this case, the opposite side is the height of the kite and the adjacent side is the distance from Kyra to the kite.
We need to find the length of the opposite side (height of the kite), so we can use the formula:
tan(angle) = opposite/adjacent
In this case, the angle is 27 degrees and the adjacent side is 50 feet. Let's denote the height of the kite as h.
tan(27) = h/50
To find h, we can multiply both sides of the equation by 50:
50 * tan(27) = h
Using a calculator, we find:
h ≈ 50 * 0.5095 ≈ 25.475
Therefore, the kite is approximately 25.475 feet high in the air.