Question

The length of the hypotenuse of a 30°-60°-90° triangle is 13 meters. Find the length of the side opposite the 30° angle. a. 6.5 m c. 11.3 m b. 26.0 m d. 22.5 m

Answer 1

We can use formula,

sin α = opposite leg/ hypotenuse

opposite leg = hypotenuse*sin(α)

opposite leg = 13*sin(30⁰) = 13*1/2 = 6.5(m)

Answer is A. 6.5 m.