In ?XYZ, ?X=56° and ?Y=17°. ?XWZ=90° and XY=1.7. Find the length of WY to the nearest 10th.

Question

In ΔXYZ, ∠X=56° and ∠Y=17°. ∠XWZ=90° and XY=1.7. Find the length of WY to the nearest 10th.

Answer 1

In triangle XYZ measure angle Y=17^0, Since angle XWZ =90⁰ triangle XYW is a right angle triangle and cosine y will be equal to WY/XY. Therefore WY= XY(Cos 17). XY=1.7, and Cos 17= 0.956304756. Therefore XY=1.6257180851. The answer to the nearest 10th will be 1.6.

Answer 2

Jessica,

 

This question is almost exactly the same as one you asked a couple hours ago. Go check my answer to that question. This problem works exactly the same way.

 

Stephanie