Use ΔDEF, 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. (4 points)
Accepted Solution
A:
You are given the hypotenuse and angle F, DE is the leg opposite to angle F, so use sin to solve this problem. sinF=DE/DF DE=DF*sinF=55*sin49=41.51