Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Find the tangent of ∠Y.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

tan(Y) =

Answer 1

Answer:

tan∠Y = 2,14

Step-by-step explanation:

First , we need to determine XY

in order to do that we use the Pythagorean theorem :

XY = √(85^2-77^2) = 36

tan∠Y = 77/36 = 77÷36 = 2,138888888889

Answer 2

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