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Answer :
Final answer:
To find the length of FG in triangle FGH, we can use the trigonometric ratio of tangent. Applying this, we find that the length of FG is approximately 15.3 feet.
Explanation:
To find the length of FG in triangle FGH, we can use the trigonometric ratio of tangent. Since we know that ∠H is a right angle, we can use the tangent of ∠F to find the length of FG. The tangent of ∠F is equal to the opposite side (FG) divided by the adjacent side (GH). So we can set up the equation tan(∠F) = FG/GH and solve for FG. Plugging in the values we have, tan(15°) = FG/57. Using a calculator, we can find that tan(15°) ≈ 0.2679. Multiplying both sides of the equation by 57, we get FG ≈ 15.3 feet.
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