Question

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain how you got the answer and why mine was wrong.

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? Type the numeric answer only in the box below.

Answer 1

x ≈ 63.27

Explanation:

Using the tangent ratio in the right triangle

tan49° =
`(opposite)/(adjacent)` =
`(EF)/(DE)` =
`(x)/(55)` ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )