Question

Two Ships leave port at the same time. Ship X is heading due north andShip y is heading due east. Thirteen hours later they are 650 milesapart. If Ship X had traveled 520 miles from the port, how many mileshad Ship y traveled?

Answer 1

390

Step-by-step explanation

Step 1

then, we have a rigth triangle

we can use Pitagoras theorem to find the missing distance

Let

adjancent side= 520

opposite side= x

hypotenuse = 650

Step 2

apply the P.T.

`\begin{gathered} \text{adjside}^2+opposside^2=hypotenuse^2 \\ 520^2+x^2=650^2 \\ solve\text{ for x} \\ x^2=650^2-520^2 \\ x=\sqrt[]{650^2-520^2} \\ x=\sqrt[]{152100} \\ x=390 \\ \end{gathered}`

Hence, ship y has traveled 390