Question

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foo

Answer 1

Answer:

9.5 feet

Step-by-step explanation:

We solve this question using Sine rule

XY/sin X = YZ/Sin Z

From the question:

∠Z=90°

∠X=57°

XY = 8 feet.

8/sin 57 = YZ/sin 90

Cross Multiply

sin 57 × YZ = 8 × sin 90

YZ = 8 × sin 90/sin 57

YZ = 9.53891 feet

Approximately = 9.5 feet

Therefore, the length of YZ is 9.5 feet