Question

How to find the measure of yz

Answer 1

Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)

YZ/sin30=50/sin90

YZ=50sin30   (sin90=1 :P)

YZ=25m

Use the 30,60,90° triangle ratios 1, √3, 2

YZ/1=50/2

YZ=25m

Using the Pythagorean Theorem....

(2*25)^2=YZ^2+(√3*YZ)^2

2500=YZ^2+3YZ^2

2500=4YZ^2

625=YZ^2

25m=YZ