One angle of a right triangle measures 60°. The side opposite this angle measures 21 inches.
What is the length of the hypotenuse of the triangle?
+279 1) To determine which trigonometric rule to use, identify your given values:
Given angle: 60° Opposite side of the given angle: 21 inches Hypotenuse: x
2) Use the trigonometric rule that will help you solve in your problem.
Sin θ = opposite side / hypotenuse
3) Plug in your values.
Sin (60°) = 21 / x
4) Solve.
Sin (60°) = 21 / x
√ 3 / 2 = 21 / x
√ 3 x = 21 (2)
√ 3 x = 42
x = 14√ 3 or 24.24871130....
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