How do you find the height of a right triangle when given the length of one leg and the angle opposite that leg?

Answer 1

Micheal Haley

To find the height of a right triangle when given the length of one leg (let’s call it ‘a’) and the angle opposite that leg (let’s call it ‘θ’), you can use the sine function from trigonometry. The sine of an angle in a right triangle is defined as the ratio of the opposite side to the hypotenuse. Therefore, sin(θ) = a/h, where ‘h’ is the hypotenuse. Rearrange the formula to find the height: height = a / sin(θ).