Question

In the figure above, if $k=30$, what is the $x$-coordinate of point $P$?

• A. $1$
• B. $\sqrt{2}$
• C. $\sqrt{3}$
• D. $2$
• E. $\sqrt{5}$

Answer 1

Answer: (C)

$\sqrt{3}$

The $y_{coordinate}=OPsin{30}^0=0.5OP=1$
Or
$OP=2$.
Hence
$x_{coordinate}=OPcos{30}^0=2\times \frac{\sqrt{3}}{2}=\sqrt{3}$.