Question

1. a delivery drone flies 120 meters east and then 160 meters north. if it had flown directly back to its starting point, what would the distance have been?

Explanation:

Step1: Recognize right - triangle

The drone's path forms a right - triangle. The two legs of the right - triangle are $a = 120$ meters and $b = 160$ meters.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$, where $c$ is the hypotenuse (the direct distance back to the starting point). Substitute $a = 120$ and $b = 160$ into the formula: $c=\sqrt{120^{2}+160^{2}}=\sqrt{14400 + 25600}=\sqrt{40000}$.

Step3: Calculate the value of $c$

$\sqrt{40000}=200$ meters.

Answer:

200 meters