Answer:
The height of the rectangular frame is 72 inches.
Explanation:
Length of the diagonal of the rectangular frame = d = 86.53 inches
Height of the rectangular frame = h
Angle formed by diagonal with the bottom of the frame = θ = 56.31°
According trigonometric ratio:
[tex]\sin \theta =\frac{Perpendicular}{hypotenuse}[/tex]
[tex]\sin 56.31^o=\frac{h}{86.53 inches}[/tex]
[tex]h=0.83205\times 86.53 inches=71.997 inches \approx 72 inches[/tex]
([tex]\sin 56.31^o=0.83205[/tex])
The height of the rectangular frame is 72 inches.
