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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.

Respuesta :

Answer:

HF ≈ 23.2 ft

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HF}{FG}[/tex] = [tex]\frac{HF}{24}[/tex]

Multiply both sides by 24

24 × sin75° = HF , thus

HF ≈ 23.2 ft ( to the nearest tenth )

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