Question

A mouse is trapped in amaze to find his way out he walks 15 miles is makes a 90° left turnwalks 8 miles makes another 90° left turn and walks 10 miles what is the magnitude of the resultant vector?

Answer 1

The magnitude of the resultant vector is 11.18 miles

Step-by-step explanation

To find the magnitude of the resultant vector, we will first need to sketch the diagram

From the diagram above, you will see that the resultant vector is R and this can be calculated by using Pythagora's theorem

`\begin{gathered} \text{ Pythagora's theorem; c}^2\text{ = a}^2\text{ + b}^2 \\ \text{ R}^2\text{ = 10}^2\text{ + 5}^2 \\ \text{ R}^2\text{ = 100 + 25} \\ \text{ R}^2\text{ = 125} \\ \text{ Take the square roots of both sides} \\ \text{ R = }√(125) \\ \text{ R = 11.18 miles} \end{gathered}`

Hence, the magnitude of the resultant vector is 11.18 miles