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Setler [38]
2 years ago
8

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 h

ow 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.
Mathematics
1 answer:
matrenka [14]2 years ago
4 0

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

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