Too long to put in a title, haha it's in description

Question

a truck with a wrecking ball on a 35-ft cable is go demolish a wall. On the next lot sits a building that is not to be demolished. if the maximum angle (from the vertical) through which the ball can swing is 20, how far from the building should the truck be to guarantee that the ball will not strike the building?

Let A and B denote the top and bottom of the cable hanging vertically, and the C position of the ball when 0 = 20. With a line from C perpendicular to AB and intersecting at D, DC =

Choices:

35 sin (20)

35 cos (20)

35 tan (20)

35/sin(20)

Answer 1

Draw a figure.

You should have a right triangle with a 35' vertical leg and 20° angle at the top of that vertical leg.

The maximum horizontal distance is given by 35 tan 20.