Kyra is standing 50 feet from the kite she is flying. The string of the kite forms an anale of 27° with the ground. How high in the air is the kite? (1 point)
O 22.66 ft.
O 98.13 ft.
O 25.48 ft
O 32.18 ft.
To solve this problem, we can use trigonometry. Specifically, we can use the tangent function to find the height of the kite.
The tangent of an angle is the ratio of the opposite side to 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.
Let's call the height of the kite "h". Using the given information and the tangent function, we can set up the following equation:
tan(27°) = h / 50
To solve for h, we can multiply both sides of the equation by 50:
50 * tan(27°) = h
Using a calculator, we can find that tan(27°) is approximately 0.5095. Therefore:
h = 50 * 0.5095 ≈ 25.48 ft
So, the height of the kite is approximately 25.48 ft.
The correct answer is: O 25.48 ft.