Question

Please help me with this math problem

Answer 1

80.6 m

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

`= \sqrt{ {(40 - 0)}^(2) + {(70 - 0)}^(2) } \\ \\ = \sqrt{ {40}^(2) + {70}^(2) } \\ \\ = √(1600 + 4900) \\ \\ = √(6500) \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m`