princelove20g
princelove20g princelove20g
  • 19-03-2020
  • Mathematics
contestada

In ΔEFG, the measure of ∠G=90°, the measure of ∠F=53°, and GE = 7.9 feet. Find the length of FG to the nearest tenth of a foot.

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jimrgrant1 jimrgrant1
  • 19-03-2020

Answer:

FG ≈ 6.0 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan53° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GE}{FG}[/tex] = [tex]\frac{7.9}{FG}[/tex]

Multiply both sides by FG

FG × tan53° = 7.9 ( divide both sides by tan53° )

FG = [tex]\frac{7.9}{tan53}[/tex] ≈ 6.0 ft

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