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Help please tell me what the answer is ASAP

Help please tell me what the answer is ASAP-example-1

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Answer:

The approximated length of EF is 2.2 units ⇒ A

Explanation:

The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

tan(∠D) =
(EF)/(DF)

DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

tan(20°) =
(EF)/(6)

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

→ Approximate it to the nearest tenth

2.2 = EF

The approximated length of EF is 2.2 units

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