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? Type the numeric answer only in the box below.

Answer 1

40.87 (Rounded to nearest hundredth)

Make sure you have the law of sines near by.

We have this for us:

sin48/x=sin90/55

xsin90=55sin48

x=55sin48/sin90 *To get our answer go on a calculator and type in 55×48 sin then take that number and divide it by 90 sin, then you will get your answer which is 40.87 rounded*

Answer 2

X rounded to the nearest hundredth should be 36.08