# Math Help - problem solving with triangles.

1. ## problem solving with triangles.

1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.

2. 1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.

This is simply a vector addition problem. The resultant vector will be the hypotenuse of the right triangle you construct as well as its direction.

The math bit: $6^2 + 3^2 = h^2$

So, $36 + 9 = h^2$

$h^2 = 45$

We are only concerned with the positive root. Thus, h = $\sqrt{45}$

So, your speed and direction is $3\sqrt{5}$ km/h NE .

-Andy