Question

Somebody help pls:)))

Answer 1

Answer: 5.4

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Explanation:

Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)

We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle

Use the tangent rule

tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth

That's why 5.4 is the answer