Question

1. a drone flies from (1, 1) to (4, 5). using the distance formula, calculate its flight distance.

a. 3 units
b. $sqrt{16}$ units
c. 6 units
d. $sqrt{25}$ units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the points

Here $x_1 = 1,y_1 = 1,x_2 = 4,y_2=5$.

Step3: Substitute values into formula

$d=\sqrt{(4 - 1)^2+(5 - 1)^2}=\sqrt{3^2 + 4^2}=\sqrt{9 + 16}=\sqrt{25}$.

Answer:

D. $\sqrt{25}$ units