Question

Use ΔDEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth?

Answer 1

63. 27. Tan 49/1= X/55

Answer 2

Answer:

$x=63.27$units

Step-by-step explanation:

It is given that ΔDEF is a right angled triangle which is right angled at E, also the measure of DE is 55 and EF is x with an ∠D=49°.

Using the trigonometry, we have

$tan49^{{\circ}}=\frac{EF}{DE}$

⇒$(1.15)=\frac{x}{55}$

⇒$x=63.27$units

Thus, the value of EF= 63.27 units.