Question

If a=15 yards
and ∠C=62°
, what is the measure of h
to the nearest yard?

(1 point)
Responses

16 yards

\(16\ yards\) - incorrect

13 yards

\(13\ yards\) - no response given

28 yards

\(28\ yards\) - no response given

7 yards

\(7\ yards\) - no response given

Answer 1

If a is the hypotenuse and ∠C is the angle, the vertical side h is opposite ∠C, so h = a·sin(C).

h = 15·sin(62°) ≈ 15·0.8829 ≈ 13.24 → 13 yards (to the nearest yard).