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 F measures 49 degrees.

What is the value of x rounded to the nearest hundredth?

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 F measures 49 degrees. 

What is the value of x rounded to the nearest hundredth?

help_people · Answer

attachment

er.mohd.amir · Answer

sin 49=DE/DF

welshfella · Answer

Replace DF by  55, De by x then solve for x

help_people · Answer

so 49=x/55 (just to confirm)

welshfella · Answer

sin 49 = x / 55
Multiply both sides by 55

welshfella · Answer

Multiplying by 55 isolates x on the right side of the '='

help_people · Answer

49 = x/55
x = 55 * sin(49)
x = 55 * 0.7547
x = 41.509 rounded to nearest hundredth is 41.51
so the asnwer would be 41.51

help_people · Answer

@Er.Mohd.AMIR is that the right asnwer?

er.mohd.amir · Answer

yes

help_people · Answer

ok thank you so much!