Study guide help

Question

Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. If the rectangular frame's diagonal is 50 inches and forms a 36.87° angle with the bottom of the frame, what is its height? Round your answer to the nearest inch. (1 point)

28 inches

30 inches

38 inches

40 inches

Answer 1

Diagonal * sin(36.87) = height because sin(θ) = opp side/hypotenuse

Also you can notice that the angle approximates the value for a 3-4-5 right triangle opposite the short side..