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Where is EF to the nearest tenth??

Where is EF to the nearest tenth??-example-1

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Answer:

37.7

Explanation:

EF and ED define the Tangent of D

Tan(37) = side opposite D / side adjacent to D

Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle

Adjacent means the leg that is connected to the angle, but is not the hypotenuse.

Tan(D) = opposite over adjacent

Opposite = x

Adjacent = 50

Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.

0.7536 = x / 50 Multiply both sides by 50

0.7536*50 = x

x = 37.6777

The nearest 1/10 is 37.7

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