Question

What is the value of x in the triangle?

a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3

Answer 1

sin 30 = 7 *3^1/2 / c

sin 60 = x / c definition of 30-60-90 -

sin 30 / sin 60 = 7 * 3^1/2 / x = .5 / .866 = .577

x = 7 * 3^1/2 / .577 = 21

Check: tan 30 = 7 * 3^1/2 / 21 = .577 = tan 30