Trig/geometry help (triangles/finding sides)

[PhizKid]

Homework Statement

Find side 'R'. L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.

Homework Equations

Pythagorean Theorem
Similar triangles
Law of Sines
Law of Cosines

The Attempt at a Solution

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

 

[Mentallic]

Homework Statement

Find side 'R'. L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.

Homework Equations

Pythagorean Theorem
Similar triangles
Law of Sines
Law of Cosines

The Attempt at a Solution

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

Draw a vertical line through the right side of the length L (the point on the triangle). The length L will be perpendicular to this line, yes? And now take notice that \phi would be the angle between the vertical and the side of the triangle because of the parallel lines rule (the wall is parallel to the vertical line we constructed).

 

[lurflurf]

law of sines gives

L/sin(phi+theta)=R/cos(phi)