Question

Revisit
A cat walked 40m toward west. Then turning to its left, it walked 40m. Then turning to its right, it walked 10m. In which direction is it moving now and
how far (approximately) is it from its initial position?​

Answer 1

Answer:

The cat is moving in the west direction.

It is approximately 50m from its initial position.

Step-by-step explanation:

Hope it helps you.

Answer 2

Given,

A cat walked 40m toward west. Therefore, turning to its left, it walked 40m. Then turning to its right, it walked 10m.

Solution,

Refer to the figure.

As it is clear from the figure that the cat is in the west direction.

Therefore, the distance from the initial position is

$\[\begin{array}{l} \Rightarrow 10 + \sqrt {{{\left( {40} \right)}^2} + {{\left( {40} \right)}^2}} \\ \Rightarrow 10 + \sqrt {1600 + 1600} \\ \Rightarrow 10 + \sqrt {3200} \end{array}\]$

Solve further,

$\[\begin{array}{l} \Rightarrow 10 + 56\\ \Rightarrow 66\end{array}\]$

Hence, the distance from the initial position is $\[66m\]$ facing the west direction.