Question

In the right triangle shown, m\angle V = 60\degreem∠V=60°m, angle, V, equals, 60, degree and UV= 18UV=18U, V, equals, 18.How long is UWUWU, W? Choose 1 answer: Choose 1 answer:

Answer 1

9√3

Step-by-step explanation:

Given that :

UV = 18

Angle V = 60°

To obtain the measure of UW = v

Using trigonometry :

Sinθ = opposite / hypotenus

Sinθ = UW / 18

θ = 60°

sin60° = UW / 18

Sin 60° = √3/2

√3 /2 = UW / 18

UW = 18 * √3/2

UW = 9 * √3

UW = 9√3