Aboat heads south at 120 mph while a steamer heads east at 50 mph. if they started from the same dock and at the same time, when will the distance between them be 130 mi?

If boat started from the same dock and at the same time,  the distance between them be 130 m in 1 hour

Given :

A boat heads south at 120 mph while a steamer heads east at 50 mph

WE know that distance = speed * time

Let 't' be the time taken

Distance covered when steamer heads south =

Distance covered in when steamer heads east=50 t

we need to find out 't' when distance between them is 130 miles

When boat heads south and east then it forms a right angle triangle

Lets  apply Pythagorean theorem ,

the distance between them be 130 mi in 1 hour

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  1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

  √(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

The length of the line segment is 13 units

Step-by-step explanation:

The line segment joining the two points is horizontal since the y co-ordinate is the same.

For a horizontal line, the length of the line segment is simply the difference between the x co-ordinate values.

In this case we have;

7 - (-6) = 7 + 6 = 13

Therefore, the length of the line segment is 13 units