A kite flying at a height of 67.2m is attached to an angle of 31° to horizontal. The length of string is?
- 460.47m
- 115.55m
- 130.49m
- None of these
Explanation
Trigonometry
Given height (opposite side) = 67.2 m
Angle = 31°
Let's find the length of the string (hypotenuse):
sin(31°) = opposite side / hypotenuse
sin(31°) = 67.2 / hypotenuse
hypotenuse = 67.2 / sin(31°)
hypotenuse ≈ 67.2 / 0.515
hypotenuse ≈ 130.49 m
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