find m∠y. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠y = °
find m∠y. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠y = °
Answer
Explanation:
Step1: Recall tangent - ratio formula
In right - triangle (XWY), (\tan Y=\frac{opposite}{adjacent}). Here, the side opposite to (\angle Y) is (XW = 8) and the side adjacent to (\angle Y) is (XY = 5). So, (\tan Y=\frac{XW}{XY}=\frac{8}{5}=1.6).
Step2: Find the angle using inverse - tangent
We know that if (\tan Y = 1.6), then (Y=\tan^{- 1}(1.6)). Using a calculator, (Y=\tan^{-1}(1.6)\approx58.0^{\circ}).
Answer:
(58.0)