Question

Find the measure of \angle G∠G. Round your answer to the nearest tenth (one decimal place).

Answer 1

Hi there!

`\large\boxed{G \approx 55.44^(o)}`

To solve, we can use right triangle trigonometry.

Recall that:

sin = O/H, cos = A/H, tan = O/A.

For angle G, HF is its OPPOSITE side, and FG is the hypotenuse.

Therefore, we must use sine to evaluate:

sinG = 14 / 17

sin⁻¹ (14/17) = ∠G. Evaluate using a calculator.

∠G ≈ 55.44°