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

`(848)/(\sin (31))=(B)/(\sin (53))`

then we isolate the B

`B=(848(\sin (53)))/(\sin (31))=1314.94\approx1315m`

The length of the Bridge is 1315m