Answer:
80.6 m
Step-by-step explanation:
Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.
Length of the shortcut can be found by using distance formula between two points P and Q.
Length of the shortcut
[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]
