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 76.84 inches and forms a 51.34° angle with the bottom of the frame, what is its height? round your answer to the nearest inch. 96 inches 60 inches 50 inches 48 inches

Answers

  1. If  Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. the rectangular frame’s diagonal is 76.84 inches and forms a 51.34° angle with the bottom of the frame, its height is: B. 60 inches.

    Height

    Let h represent the height
    Hence,
    Diagonal × sin(51.36) = height  since sin(θ) = opp side/hypotenuse
    h = height
    Sin( 51.34°)=h/76.84
    h=(76.84 )sin(51.34°)
    h=60 inches
    Therefore If  Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. the rectangular frame’s diagonal is 76.84 inches and forms a 51.34° angle with the bottom of the frame, its height is: B. 60 inches.
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