Respuesta :
Answer:
The answer to your question is VW = 2.2
Step-by-step explanation:
Data
angle = 63°
hypotenuse = ?
adjacent side = 1
Process
To solve this problem use trigonometric functions, the trigonometric function that relates the adjacent side and the hypotenuse is cosine.
cos α = [tex]\frac{adjacent side}{hypotenuse}[/tex]
solve for hypotenuse
hypotenuse = [tex]\frac{adjacent side}{cos \alpha}[/tex]
Substitution
hypotenuse = [tex]\frac{1}{cos 63}[/tex]
Simplification
hypotenuse = [tex]\frac{1}{0.45}[/tex]
Result
hypotenuse = 2.2
Answer:
Step-by-step explanation:
Triangle UVW is a right angle triangle.
From the given right angle triangle
VW represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
UW represents the adjacent side of the right angle triangle.
UV represents the opposite side of the right angle triangle.
To determine VW, we would apply the cosine trigonometric ratio. It is expressed as
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 63 = 1/VW
VWCos63 = 1
VW = 1/Cos 63 = 1/0.4540
VW = 2.2 to the nearest tenth