The distance between V and X is 5t km, find the distance between W and V.
How to solve
Let the distance between W and V be d.
Since Peggy walked from V to W on a bearing of 65 degrees, we know that d * cos(65) = x2 - x1 and d * sin(65) = y2 - y1.
We also know that x2 + d * cos(65) = 5t and y2 = 0.
Substituting these values into the equations for d, we get d^2 - 2d + 1 = 0. Solving for d, we find d = 1 km.
The Complete Question
Peggy walked 2t km from a village V to visit a friend in another village W on a bearing of 65 degrees. After spending some time, she continued to a nearby town X 3t km away. If the distance between V and X is 5t km, find the distance between W and V.