kyra is standing 50 feet from the kite she is flying. the string of the kite from 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 trigonometry. The height is represented by the opposite side of the angle, while the distance from Kyra to the kite is the adjacent side.
Using the tangent function, we can set up the following equation:
tan(27°) = opposite/adjacent
Given that the distance from Kyra to the kite is 50 feet, we can substitute the adjacent side as 50 feet:
tan(27°) = opposite/50
To isolate the opposite side, we can rearrange the equation:
opposite = tan(27°) * 50
Using a calculator, we can find that tan(27°) is approximately 0.5095. Substituting this value into the equation, we get:
opposite = 0.5095 * 50
Simplifying the equation, we find that the height of the kite is approximately 25.48 feet.