Question

an ant leaves the anthill for its morning exercise. It walks 4 feet east and then a makes a 160° turn to the right and walks 4 more feet. it then makes another 160° turn to the right and walks 4 more feet. If the ant continue this pattern untill it reaches the anthill again. what is the diatance in feet it would have walked​

Answer 1

Answer:

36 feet

Step-by-step explanation:

An ant leaves the anthill for its morning exercise. It walks 4 feet east and then a makes a 160° turn to the right and walks 4 more feet. it then makes another 160° turn to the right and walks 4 more feet. If the ant continue this pattern untill it reaches the anthill again. what is the diatance in feet it would have walked​

Every time any moves 4 feet & Turn by 160° in same direction (right side)

let say after n such moves ant reaches back original

then turn taken = 160 n

160 n should be equal to 360k

160n = 360 k

4n = 9k

=> n = 9  & k = 4 is the smallest solution

hence after 9 such moves ant will be back at anthill

Distance covered = 9 * 4 = 36 feet

Answer 2

Answer:

36 feet

Step-by-step explanation:

Every time any moves 4 feet & Turn by 160° in same direction (right side)

let say after n such moves ant reaches back original

then turn taken = 160 n

160 n should be equal to 360k

160n = 360 k

4n = 9k

=> n = 9  & k = 4 is the smallest solution

hence after 9 such moves ant will be back at anthill

Distance covered = 9 * 4 = 36 feet