Will someone explain to me how to work this problem please?
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.

Question

Will someone explain to me how to work this problem please?
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.

anonymous · Answer

attachment

anonymous · Answer

use cos of the angle

anonymous · Answer

cos(49)=x/55   
solve for x
x=55*cos(49)

anonymous · Answer

I need a bit of a step by step explanation, please.

anonymous · Answer

x=36

anonymous · Answer

okay

anonymous · Answer

|dw:1416342138864:dw|

anonymous · Answer

to find x we multiply cos(theta)* hyp

anonymous · Answer

How do I work the equation you gave me

anonymous · Answer

theta =49
hyp=55
x=55*cos(49)=36

anonymous · Answer

I got 36, but it said it was the wrong answer, so I assumed I was doing the equation wrong.

anonymous · Answer

i hope it is clear now