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A man travels 3 miles, turns left and travels 6 miles, then left again and travels 8 miles. How far is he from the starting point?

А. 4
В. 7
С. 5
D. 9

User Bilal Butt
by
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1 Answer

7 votes

Final answer:

To find the distance from the starting point, we need to use the Pythagorean theorem to calculate the resultant displacement. The man is 3 miles from the starting point. The correct option is A.

Step-by-step explanation:

To find the distance from the starting point, we need to find the resultant displacement. We can solve this problem by using the Pythagorean theorem.

First, let's calculate the distance traveled in the x-direction, which is the sum of the distances traveled in the left and right turns. The distance traveled in the x-direction = 6 miles - 3 miles = 3 miles.

Next, let's calculate the distance traveled in the y-direction, which is the sum of the distances traveled in the upward and downward turns. Since there are no upward or downward turns, the distance traveled in the y-direction is 0 miles.

Finally, we can find the resultant displacement, which is the hypotenuse of the right triangle formed by the distances traveled in the x-direction and the y-direction. Using the Pythagorean theorem, the resultant displacement = sqrt(3^2 + 0^2) = 3 miles.

Therefore, the man is 3 miles from the starting point. The correct option is A.

User Mavrck
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