Question

on the school playground, the slide is 6.4 meters due west of the tire swing and 7.1 meters due south of the monkey bars. what is the distance between the tire swing and the monkey bars? if necessary, round to the nearest tenth. _______ meters

Explanation:

Step1: Identify right triangle sides

The positions form a right triangle where the legs are $a=6.4$ m and $b=7.1$ m.

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$
Substitute values:
$$c = \sqrt{6.4^2 + 7.1^2}$$

Step3: Calculate squared terms

$6.4^2 = 40.96$, $7.1^2 = 50.41$
Sum: $40.96 + 50.41 = 91.37$

Step4: Compute square root

$$c = \sqrt{91.37} \approx 9.6$$

Answer:

9.6 meters