How to find tension in the string given in the question below?

Question

enter image description here Only a part is needed. Thanks.

Answer 1

Some trigonometry is required, but the gist of it is that because the particle is at rest (not accelerating) the horizontal component of the tension in $BP$ is equal to the horizontal component of the tension in $AP$. All you have to do is figuring out all the angles involved and decompose all the forces correctly.