Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units

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6.38 units

Step-by-step explanation:

First, realize that angle F must be 180 - 90 - 50 = 40°

Now we use SOHCAHTOA.

If we focus on angle F, we have an angle with its adjacent side (the 7.6), and we need to know the opposite, let's call it x.

So we need to use the tan() form:

tan(40°) = x / 7.6

x = 7.6*tan(40) ≈ 6.37715 ≈ 6.38

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step-by-step explanation:

1.30

step-by-step explanation: