Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Step-by-step explanation:

= Rate at which the distance between the two people is changing

At 25 minutes

Distance between the two people is

Differentiating with respect to time we get

Distance between the two people is changing at a rate of .

At 35 minutes

Distance between the two people is

Differentiating with respect to time we get

Distance between the two people is changing at a rate of .

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,