Question

If a triangle has angles measuring 30°, 60°, and 90°, what is the length of the side opposite the 60° angle if the hypotenuse is 10 units?​

Answer 1

`5 √(3)`

Explanation:

Use sin formula from "Right Angle Trigonometry":

sin 60° = opposite/hypotenuse

`(1)/(2) √(3) = (opposite)/(10)`

`opposite = 5 √(3)`

Please see attached picture for the clear explanation.

Hope it helps. Thanks!