Question

An ant leaves the anthill for its morning exercise. It walks 4 feet east and then makes a 160 degree turn to the right and walks 4 more feet. It then makes another 160 degrees turn to the right and walks 4 more feet. If the ant continues this pattern until it reaches the anthill again, what is the distance in feet it would have walked?

Answer 1

Answer:

Answer - 72 feet

Solution :-

Ant turn 160° right after walking 4 feet, hence Ant turn 20° left from the opposite direction.

Therefore for complete rotation, it will have to walk 4 feet 18 times,

$\frac{360}{20} = 18$

Therefore,

Total distance

$= 18 \times 4 = 72$

Answer 2

Answer:

72

Step-by-step explanation:

The ant will make a polygon whilst roaming in this pattern,

The internal angle that the ant will make when turning at an angle of 160 degrees will be of 20 degrees.

Now we can certainly find the rotations by dividing an angle of 360 degrees which is a complete rotation,

= 360/20

= 18

Hence the no. rotations that came out to be equal to 18

Now, the distance covered,

18 x 4 = 72

= 72 feet