Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠Y as the reference angle,
XY represents the adjacent side of the right angle triangle.
WX represents the opposite side of the right angle triangle.
To determine XY, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
85² = 77² + XY²
XY² = 85² - 77² = 7225 - 5929
XY = √1296 = 36
To determine tan Y, we would apply trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan Y = 77/36
Tan Y = 2.14
