HELP (05.02 LC) Which equation could be used to find the value of x? Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle F measures 49 degrees.
A. cos 49° = x over 55
B. cos 49° = 55 over x sin
C. 49° = x over 55 sin
D. 49° = 55 over x

Check out the attached diagram for the visual. We have DE = x as the side opposite angle F = 49 degrees and DF = 55 as the hypotenuse.

We'll use the sine rule because it is the ratio of opposite over hypotenuse

So,

sin(angle) = opposite/hypotenuse

sin(F) = DE/DF

Based on your answer choices, nothing matches entirely perfect. Though there are some bits that do match.

It looks like choice C should read sin(49) = x/55, and if so, then choice C is the answer.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

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step-by-step explanation: