Question

# Please help ugh. 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

47.54

- Q: What formula can we use to find x? A: We can use Tangent of angle F.
- Q: What is the formula for Tangent? A: Tangent(angle F) = opposite side/adjacent side.
- Q: What is the opposite side for angle F? A: Opposite side = DF.
- Q: What is the adjacent side for angle F? A: Adjacent side = DE.
- Q: What is the formula for finding x? A: x = DF / tan(angle F)
- Q: What is the value of x? A: x = DF / tan(angle F) = 55 / tan(49) = 47.54 (rounded to the nearest hundredth).