Question

Help please. Use △DEF, shown below, to answer the question that follows.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answer 1

\[\tan\theta=\frac{opposite}{adjacent}\]
\[\tan49=\frac{x}{55}\]
\[x=\tan49*55\]
Does that help? @marylou004

Answer 2

Not really.

Answer 3

\[\frac{x}{\sin (49 {}^{\circ})}=\frac{55}{\sin (41 {}^{\circ})}\to x=63.27 \]

Answer 4

From Mathematica:\[x=\text{Round}[55 \tan (49 {}^{\circ}),0.01]=63.27 \]

Answer 5

oh ok that makes sense

Answer 6

Thank you

Answer 7

My first solution used the Law of Sines

Thank you for the medal.