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sattari [20]
3 years ago
6

A boat 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, whe

n will the distance between them be 130 mi?
Mathematics
2 answers:
Snezhnost [94]3 years ago
8 0

Answer:

  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.

Aneli [31]3 years ago
4 0

Answer:

1 hour

Step-by-step explanation:

to solve, just use pythagerum therum!

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_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

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This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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