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andrezito [222]
3 years ago
8

A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the fi

nish in a _____ direction

Mathematics
2 answers:
swat323 years ago
7 0

Answer:

Displacement is a straight line from the starting point to the finish point 6\sqrt{2} blocks in<u> North-West</u> direction.

Step-by-step explanation:

The figure below shows the movement of person and standard direction taken.

AB represents the movement of person 6 blocks towards north and BC represents the movement of person 6 blocks towards west. A to C defines the distance traveled by the person.

Displacement is defined as the shortest distance covered between two points.

Here, displacement is the distance between point A and C.

Since, angle at B is right angle So, ΔABC is a right angled triangle.

Pythagoras theorem states that in a right angled triangle sum of square of base and perpendicular is equal to the square of hypotenuse.  

Applying Pythagoras theorem in ΔABC, we get

(AC)^2=(AB)^2+(BC)^2

(AC)^2=(6)^2+(6)^2

(AC)^2=36+36

AC=\sqrt{72}

AC=6\sqrt{2}

Thus, displacement is a straight line from the starting point to the finish point 6\sqrt{2} blocks in <u>North-West</u> direction.

klemol [59]3 years ago
6 0
For the answer to the question above, A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the finish in <span>8.49 blocks</span> in a Northwest <span>direction.
The Solution:
</span>A^2+B^2=C^2

6*6+6*6 = sqrt(72)
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