Question

Nisha walks 15 metre west and 8m North to reach the opposite corner of a rectangular field Mary walked from the same point diagonally to the opposite corner what is the distance covered by Mary

Answer 1

$<b><u><i> Heya mate!!! Here's your answer</i></u></b>$
______________________________

$\huge{Given}$

Nisha walks 15 m West and 8 m North to reach the opposite corner of a rectangular field. Mary walked from the same point diagonally to the opposite corner.

$\huge{To\: Find}$

Distance covered by Mary.

$\huge{Solution}$

Firstly, let ABCD be the required rectangle.

Then, Nisha moves from A to B - 15 m and then B to C - 8 m

And, Mary walks from A to C. Then we have to find the distance between A and C.
____________________

Now,

All the angles of a rectangle are 90°
=> angles A = B = C = D = 90°

Hence, in the fig.,

AB = 15 m
BC = 8 m
Angle B = 90°

Now, side opposite to 90° is called the hypotenuse
Hence, AC is the hypotenuse

That makes a right angled triangle ABC at angle B.
___________________

Now, we use the Pythagoras' Theorem; which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of square of other two sides, to solve the question.

AC² = AB² + BC²

=> AC² = 15² + 8²

=> AC² = 225 + 64

=> AC² = 289

=> AC = √289

=> AC = 17 m
_____________________

Hence, the distance covered by Mary = AC

$\boxed{\bold{\mathcal{\red{=\: 17\: m}}}}$
_____________________

$\huge{\bold{\mathcal{\pink{Thank\: you}}}}$

Answer 2

Heya mate!!! Here's your answer

______________________________

$\huge{Given}$

Nisha walks 15 m West and 8 m North to reach the opposite corner of a rectangular field. Mary walked from the same point diagonally to the opposite corner.

$\huge{To\: Find}$

Distance covered by Mary.

$\huge{Solution}$

Firstly, let ABCD be the required rectangle.

Then, Nisha moves from A to B - 15 m and then B to C - 8 m

And, Mary walks from A to C. Then we have to find the distance between A and C.

____________________

Now,

All the angles of a rectangle are 90°

=> angles A = B = C = D = 90°

Hence, in the fig.,

AB = 15 m

BC = 8 m

Angle B = 90°

Now, side opposite to 90° is called the hypotenuse

Hence, AC is the hypotenuse

That makes a right angled triangle ABC at angle B.

___________________

Now, we use the Pythagoras' Theorem; which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of square of other two sides, to solve the question.

AC² = AB² + BC²

=> AC² = 15² + 8²

=> AC² = 225 + 64

=> AC² = 289

=> AC = √289

=> AC = 17 m

_____________________

Hence, the distance covered by Mary = AC

\boxed{\bold{\mathcal{\red{=\: 17\: m}}}}

=17m

_____________________

$\huge\mathfrak\red{Thanks}$