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Jlenok [28]
3 years ago
5

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

HF ≈ 23.2 ft

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = \frac{opposite}{hypotenuse} = \frac{HF}{FG} = \frac{HF}{24}

Multiply both sides by 24

24 × sin75° = HF , thus

HF ≈ 23.2 ft ( to the nearest tenth )

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