Question

question 29 - 1 point a truck starts off 180 miles directly east from the city of hartville. it travels due south at a speed of 45 miles per hour. after travelling 49 miles, how fast is the distance between the truck and hartville changing? (do not include units in your answer, and round to the nearest hundredth.) provide your answer below:

Explanation:

Step1: Apply Pythagorean theorem

Let $a = 180$ and $b = 49$. The distance $d$ is $\sqrt{a^{2}+b^{2}}=\sqrt{180^{2}+49^{2}}$.

Step2: Calculate the value

$\sqrt{180^{2}+49^{2}}=\sqrt{32400 + 2401}=\sqrt{34801}\approx186.55$.

Step3: Round to nearest hundredth

$186.55$ (already to nearest hundredth).

Answer:

$186.55$