*TRIG HELP* In the triangle below, x = _____. Round your answer to two decimal places.

Question

anonymous · Answer

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anonymous · Answer

Remember that$$tangent=\frac{opposite}{adjacent}$$

So you can set up this problem as$$\tan(52^o)=\frac{x}{35}$$

and then solve for x

anonymous · Answer

I did 35(tan(52)) but I got -211.86 for my answer, which doesn't seem right...

anonymous · Answer

Firstly find the z angle:

z = 180 - 90 - 52 = 38

Now use:

$$\tan \theta = \frac{Perpendicular}{Base}$$

$$\tan(38) = \frac{35}{x}$$



$$x = \frac{35}{\tan(38)}$$

Now solve for x..

anonymous · Answer

Ok I did that, but I got 112.79, which isn't the right answer...

anonymous · Answer

$$\tan(38) = 0.78$$

So,

$$x = \frac{35}{0.78} = 44.87$$

anonymous · Answer

hmm.. that's weird. I typed that into my calc but I got a different answer. But your answer is right :)

anonymous · Answer

Welcome dear...