Help finding sides with other angles of other triangles nearby

http://i.imgur.com/h83RV.png

I have to find side 'R'

L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.

I don't see any way I can attempt this, I'm very rusty with my trig. We have a known side and a right angle, but I don't see how I can make any other angles (since we only have one side I'm assuming I need to get an angle somewhere

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Re: Help finding sides with other angles of other triangles nearby

Quote:

Originally Posted by

**PhizKid** http://i.imgur.com/h83RV.png
I have to find side 'R'

L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.

I don't see any way I can attempt this, I'm very rusty with my trig. We have a known side and a right angle, but I don't see how I can make any other angles (since we only have one side I'm assuming I need to get an angle somewhere

1. I've modified your sketch a little bit (see attachment

2. According to the definition of the Sine function in a right triangle you'll get:

$\displaystyle \frac RL = \sin(90^\circ - \theta)$

3. Since L and $\displaystyle \theta$ are known you can determine R.

Re: Help finding sides with other angles of other triangles nearby

$\displaystyle \frac RL = \sin(90^\circ - \theta)$

Sorry but this line should read:

$\displaystyle \frac RL = \sin(90^\circ - \phi)$