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.

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.

anonymous · Answer

attachment

ajprincess · Answer

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

anonymous · Answer

Not really.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

oh ok that makes sense

anonymous · Answer

Thank you

anonymous · Answer

My first solution used the Law of Sines

Thank you for the medal.