Can Anybody Help Me in this Simple Trig Question? :(

[Rumaisa]

I don't know how to solve number 9, I keep substituting for sine squared theta but I don't know how to reach the answer I know that they gave me the bisection part for a reason but I can't figure it out

 

[Cubist]

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HINT: Have a strategy in mind. You could calculate BC by Pythagoras if you knew AC and AB.

 

[Dr.Peterson]

I don't know how to solve number 9, I keep substituting for sine squared theta but I don't know how to reach the answer I know that they gave me the bisection part for a reason but I can't figure it out

You may want to look for similar triangles, and in particular for another angle equal to theta.

 

[Cubist]

HINT: Have a strategy in mind. You could calculate BC by Pythagoras if you knew AC and AB.

A better strategy is to find CD (from tri ACD) and DB (from tri ABD), and then add them.