Answer:
Explanation:
Triangle UVW is a right angle triangle.
From the given right angle triangle
UV represents the hypotenuse of the right angle triangle.
With ∠V as the reference angle,
VW represents the adjacent side of the right angle triangle.
UW represents the opposite side of the right angle triangle.
To determine UV, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
UV² = 80² + 39²
UV² = 6400 + 1521 = 7921
UV = √7921 = 89
To determine Cos V, we would apply trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos V = 39/89
Cos V = 0.44 to the nearest hundredth