Right Thangles & Pythagorean Theorem
TUIS
JAVE DOS
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Eight hours later they are 400
miles apart. If the Ship X had traveled 320 miles from the port, how many miles had Ship Y traveled?
A.
80 miles
B.
720 miles
C. 240 miles
D. 480 miles

I need help!! Can someone pls help me with this

The ship Y traveled 240 miles which is option C).

Step-by-step explanation:

It is instructed to use Right Triangles & Pythagorean Theorem  in order to find the solution.

So, the right angle has three sides namely, the base, the height and the hypotenuse.

The given data are,

Two ships leave port at the same time.

They were 400  miles apart after 8 hours which forms the "hypotenuse" of the right triangle.

Ship X had traveled 320 miles from the port in 8 hours. Therefore,

To find the miles ship Y traveled in 8 hours :

You can easily find the base of triangle which gives the number of miles traveled by ship Y in 8 hours.

Using Pythagorean Theorem, you can find the base :

The Pythagorean triplets is (3,4,5).

We know that, in a right triangle, hypotenuse is the largest side of all the three sides.

The hypotenuse is 400 miles ⇒ 5×(80) = 400

The height is 320 miles ⇒ 4×(80) = 320

Then, the base will be 3×(80) = 240 miles.

Therefore, the ship Y traveled 240 miles in 8 hours.

26?

step-by-step explanation: