Problema Solution
A tether all pile is 10ft high. The tether all is attached to the top the top of the pole with a string so that the ball hangs 2 feet above the ground. The diameter of the ball is 9.4 inches. How long is the strong attached to the tetherball? What is the circumference of the longest path from point P could make it throught the air around the pole? use 3.15 for PI. round your answer to the nearest tenth of a foot.
Answer provided by our tutors
make a good drawing
1 ft = 12 in
9.4 in = 9.4/12 ft
the length of the string attached to the tether-ball is:
10 - (2 + 9.4/12) = 7.217 ft
the circumference of the longest path of the ball is:
2*PI*(10 - (2 + (1/2)(9.4/12)) = 2*3.15*(10 - (2 + (1/2)(9.4/12)) = 47.9 ft