Question

In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree.

Answer 1

67.6

Explanation:

Answer 2

m<V = 11.2 degrees

Explanation:

In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.

From the triangle;

UV = hypotenuse = 6.2feet

WU = opposite = 1.2feet

Required

m<V

Using the SOH CAH TOA identity

sin m<V = opp/hyp

sin m<V = WU/UV

sin m<V = 1.2/6.2

sin m<V = 0.1936

m<V = arcsin(0.1936)

m<V = 11.16

m<V = 11.2 degrees ((to the nearest tenth of a degree)