Question

Find the exact value of x using the rules of special right triangles. Show all of the work.

This means do not give the answer as a decimal - the answer should have a square root in it.

Answer 1

Using the given angle use the law of Sines:

sin(angle) = opposite leg / hypotenuse

sin(45) = X / 6

x = 6 * sin(45)

x = 6 * √2/2

x = 3√2