Question

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠Y=9°, and YZ = 23 feet. Find the length of XY to the nearest tenth of a foot.

Answer 1

Answer:

XY = 23.3 ft

Step-by-step explanation:

It helps if you can draw yourself a picture.

You are given right triangle with the adjacent side of the 9° angle and you are looking for the hypotenuse.  

The cos of an angle = adjacent side/hypotnuse

Let h = XY

Then cos 9 = 23/h

h cos 9 = 23

h = 23/cos 9

h = 23.3 ft.