Question

Find the length of the bridge. Round to the nearest meter; this will be equal to L

Answer 1

First we need to find the missing angle of the triangle, we need to remember that the sum of the interior angles of a triangle is 180°.

x= missing angles

$\begin{gathered} x=180-96-53 \\ x=31 \end{gathered}$

Then in order to find the length of the bridge we need to use the law of sines

B is the length of the bridge

$\frac{848}{\sin (31)}=\frac{B}{\sin (53)}$

then we isolate the B

$B=\frac{848(\sin (53))}{\sin (31)}=1314.94\approx1315m$

The length of the Bridge is 1315m