Two ships leave port at the same time. One sails south at 18 mi/h, and the other sails east at 24 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure.

Question

Markus

Mathematics

9 June, 15:54

Two ships leave port at the same time. One sails south at 18 mi/h, and the other sails east at 24 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure.

+4

Answers (1)

Know the Answer?

Zariah Baxter · Answer 1

D (t) = 30 * t

Step-by-step explanation:

If we look closely, it would become a right triangle according to the statement, therefore:

a ^ 2 + b ^ 2 = c ^ 2

Because they give us the speed in each case, the distance would be that speed by time therefore, we know that:

a = 18 * t

b = 24 * t

c = d

replacing we have:

D ^ 2 = (18 * t) ^ 2 + (24 * t) ^ 2

D ^ 2 = 324 * t ^ 2 + 576 * t ^ 2

D ^ 2 = 900 * t ^ 2

D = (900 * t ^ 2) ^ (1/2)

D = 30 * t

Therefore the function of D is 30 * t