Question $2($aligned to content from section $1\mathrm{.}2)$:

The vector with the magnitude of $250$ is to be resolve into components along lines a$-$a$$ and b$-$b$.$

a$)$ Using trigonometry, determine the angle knowing that the magnitude of the component along b$$b$$ is $150$

b$)$ What is the corresponding value of component along a$-$a$?$