Answer:
Explanation:
Triangle GHI is a right angle triangle.
From the given right angle triangle,
HI represents the hypotenuse of the right angle triangle.
With m∠H as the reference angle,
GH represents the adjacent side of the right angle triangle.
GI represents the opposite side of the right angle triangle.
To determine m∠H, we would apply
the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin H = 9/10 = 0.9
m∠H = Sin^-1(0.9)
m∠H = 64.2° to the nearest tenth.