Question

A horse corral is represented by triangle XYZ. If m∠X = 62°, m∠Y = 75°, and z = 26 ft, what is the length of x?

Answer 1

• Answer: Approximately: 17.97 feet

Hence, The Length of side X is Approximately: 17.97 feet

• Step-by-step explanation: ≈

Find The measure of ANGLE (Z):

m<Z = 180 degrees - m<X - m<Y

m<Z = 180 degrees - 62 degrees - 75 degrees

• SIMPLIFY:

m<Z = 43 degrees

• APPLY THE LAW OF SINES:

x / sin 43 degrees = 26 / sin 75 degrees

• SOLVE FOR X:

x = 26 sin 43 degrees / sin 75 degrees

• CALCULATE:

x ≈ 17.97

• DRAW A CONCLUSION:

Hence, The Length of side X is Approximately: 17.97 feet

I hope this helps you!

(Cheers!) :)