Answer:
Explanation:
Triangle IGH is a right angle triangle.
From the given right angle triangle
GH represents the hypotenuse of the right angle triangle.
With ∠G as the reference angle,
GI represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine GH, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
GH² = 45² + 28²
GH² = 2025 + 784 = 2809
GH = √2809 = 53
To determine Cos G, we would apply trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos G = 28/53
Cos G = 0.53