Question

In ΔXYZ, y = 500 inches, m∠Y=117° and m∠Z=10°. Find the length of z, to the nearest inch.

Answer 1

97 inches

Explanation:

Using law of sines, we know that y/sin∠Y = z/sin∠Z.

Solve:

`(500)/(sin117)` =
`(z)/(sin10)`

Therefore, z = (500/sin117)(sin10)

Enter this into a calculator to get:

z = 97.44495296, which rounds to 97 inches.

I hope this helps! :D