Math, asked by pranaybhardwaj17, 7 months ago

Mittu walks 20m toward west, takes a right turn and walks 40m. He then takes a left turn and
walks 20m. In which direction and how far is he now from the starting point?
a)80m west,
b)80m North West,
c)40√2mNorth west,
d)40√2m south west​

Answers

Answered by wasigaur989
3

Answer:

answer b is right option

Answered by qwcasillas
2

Given,

The distance Mittu covers towards west = 20m

The distance Mittu covers after a right turn = 40m

The distance Mittu covers after left turn = 20m

To Find,

The direction and distance of Mittu from the starting point.

Solution,

As per the given image,

The distance between initial and final points = x+y

Where x , y are the lengths of hypotenuses of two right-angled triangles.

Length of hypotenuse =\sqrt{Adjacent side^{2} +Opposite side^{2} }

The distance 40m is equally divided, that is 20m each.

x =\sqrt{20^{2}+20^{2}  } = 20\sqrt{2}

Similarly, y = 20\sqrt{2}

Thus the total distance = x+y = 20\sqrt{2} +20\sqrt{2} = 40\sqrt{2}

The direction is northwest as shown in the picture.

Henceforth, Mittu is 40\sqrt{2} m away and in the northwest direction from the initial point.

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