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oksian1 [2.3K]
3 years ago
13

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

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

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°

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