Describe three ways to determine the measure of segment YZ. Triangle X Y Z is shown. Angle X Y Z is a right angle and angle Z X Y is 30 degrees. The length of hypotenuse X Z is 50 meters.

Answer:

Solve the equation where the sine of 30 degrees is equal to YZ/50. Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Z to write and solve an equation. Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.