Will somebody check my work?

question:
Use △DEF, shown below, to answer the question that follows.
Triangle DEF where angle E is a right angle. DE measures x; DF measures 55; angle D measures 49 degrees.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
What I did:
1.Using a cosine calculator I found online, I got cos(49) = .656
2.So I have the equation .656 = x/55
3.I then multiplied 55 on both sides of the equation and got: x = 36.8

What do you think? Is that correct?

Question

Will somebody check my work?

question:
Use △DEF, shown below, to answer the question that follows.
Triangle DEF where angle E is a right angle. DE measures x; DF measures 55; angle D measures 49 degrees.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
What I did:
1.Using a cosine calculator I found online, I got cos(49) = .656
2.So I have the equation .656 = x/55
3.I then multiplied 55 on both sides of the equation and got: x = 36.8

What do you think? Is that correct?

anonymous · Answer

attachment

anonymous · Answer

From the angle 49 degrees, you have a side adjacent to it and the hypotenuse, so you can use cosine. cos(49 deg) = x/55, multiply both sides by 55 to get 55*cos(49 deg) = x and then you can use the calculator so you did it correctly pretty much

anonymous · Answer

yup that is what I did. Thanks a lot.