In ΔXYZ, the measure of ∠Z=90°, YZ = 13 feet, and ZX = 31 feet. Find the measure of ∠Y to the nearest degree.

Question

Help me please!!!!!!!!!!

Answer 1

You have a right triangle (XYZ) and you know the lengths of the two sides.  To find angle Y, use the tangent function:

 

tan(Y) = (opposite leg)/(adjacent leg) = 31/13

 

Y = tan^-1(31/13)

 

Use your calculator to get the answer.