Question

what is the displacement? do not include a unit and you must round to the hundredths position (2 decimal places). (for example the number 52.7836 would be rounded to 52.78)

Explanation:

Step1: Identify the two - side lengths

The two perpendicular side - lengths of the right - triangle formed by the path are $a = 125$ and $b = 297$.

Step2: Apply the Pythagorean theorem

The displacement $d$ is given by $d=\sqrt{a^{2}+b^{2}}=\sqrt{125^{2}+297^{2}}$. First, calculate $125^{2}=125\times125 = 15625$ and $297^{2}=297\times297=88209$. Then $a^{2}+b^{2}=15625 + 88209=103834$. So, $d=\sqrt{103834}\approx322.23$.

Answer:

322.23