Question

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.

Answer 1

Answer: 41.51

Explanation:

`\sin 49^(\circ)=(x)/(55)\\x=55 \sin 49^(\circ) \approx \boxed{41.51}`