# Thread: Trig Ratios & Special Angles

1. ## Trig Ratios & Special Angles

I don't know how to even start.

An irregular building lot in a subdivison has the shape shown:
( in attachment )

a) Determine an exact expression for the length side of X

b) Determine an approximation for X, to the nearest tenth of a metre.

2. To find the length $x$ you must first find the length of the line between the 2 triangles. Call it $y$ and solve for it.
$\sin \frac{\pi}{3} = \frac{40}{y}\implies y = \frac{40}{\sin \frac{\pi}{3}}$
$\cos \frac{\pi}{4} = \frac{x}{y}$