Question

Keith needs to build a bridge across a pond . he has been able to collect the following measurements. about how long his bridge need to be ?a) 11. 9 ftb) 8.4 ftc) 7. 7 ftd) 6.4 ft

Answer 1

In order to find the length of the bridge, we can use the tangent relation of the angle 50°.

The tangent relation is the length of the opposite side to the angle over the length of the adjacent side to the angle.

So we have that:

$\begin{gathered} \tan (50\degree)=\frac{x}{10} \\ 1.1917=\frac{x}{10} \\ x=10\cdot1.1917 \\ x=11.917 \end{gathered}$

So the length of the bridge is 11.9 ft, therefore the correct option is A.