MATH SOLVE

4 months ago

Q:
# 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

sinF=DE/DF

DE=DF*sinF=55*sin49=41.51