alexthebest3115 alexthebest3115
  • 19-03-2021
  • Mathematics
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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

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eudora eudora
  • 20-03-2021

Answer:

FD ≈ 252.8 feet

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(20°) = [tex]\frac{EF}{FD}[/tex]

0.36397 = [tex]\frac{92}{FD}[/tex]

FD = [tex]\frac{92}{0.36397}[/tex]

FD = 252.77

FD ≈ 252.8 feet

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