Question

50 POINTS PLEASE HELP

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

sin26∘≈0.44

cos26∘≈0.90

tan26∘≈0.49

Triangle D E F with measures as described in the text.


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What is the measurement of EF?

If necessary, round your answer to two decimal places, like this: 42.53

Answer 1

EF = 1.98

Explanation:

Sin = opposite/hypotenuse; Cos = adjacent/hypotenuse ;

Tan = opposite/adjacent

DF = 4.5 which is the hypotenuse. So using the equation for Sin

Sin 26° = opposite/hypotenuse

Sin 26° = EF/4.5

.44 = EF/4.5 solving .44(4.5) = EF ; 1.98 = EF