Question

Use △DEF, 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? Type the numeric answer only in the box below.

Answer 1

55x tan49 =63.270

63.270.

Answer 2

63.2702623...

Explanation:

The ratio between FE and DE is the tangent of the angle EDF.
`tan 49 = \frac x {55}` or
`x= 55*tan 49`. With a calculator, you get 63.2702623... Cut where needed