Question

three people are sitting on a bus. sandeep is directly behind anita and directly left of keenan. if anita and sandeep are 8 feet apart, and keenan and anita are 9 feet apart, what is the distance between sandeep and keenan? if necessary, round to the nearest tenth. feet submit

Explanation:

Step1: Identify right triangle sides

Let Anita = A, Sandeep = S, Keenan = K. $\triangle ASK$ is right-angled at S, so $AS=8$, $AK=9$, $SK=x$.

Step2: Apply Pythagorean theorem

$$AS^2 + SK^2 = AK^2$$
$$8^2 + x^2 = 9^2$$

Step3: Solve for $x$

$$x^2 = 9^2 - 8^2 = 81 - 64 = 17$$
$$x = \sqrt{17} \approx 4.1$$

Answer:

4.1 feet