SOLUTION: Jason is attempting to rest a piece of wood on a cement ball so that the angle of elevation of the resulting ramp is exactly 18 degrees. Jason draws the sketch below to model this

Question 970770: Jason is attempting to rest a piece of wood on a cement ball so that the angle of elevation of the resulting ramp is exactly 18 degrees. Jason draws the sketch below to model this situation. He labels the point of tangency between the ramp and the cement ball, A, the center of the ball, B, and the point of tangency between the flat ground and the ball, C, and the point where the ramp will touch the ground, D. If the radius of the cement ball is 21 inches, find the distance between points C and D so the damp will have the desired angle of elevation. Round your answer the the nearest inch.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Draw out the picture to get

Then erase all of the extra unneeded parts of the drawing and you will be left with this

The ultimate goal is to find the value of x (the length of CD)
RELATED QUESTIONS
A ramp goes up to the loading dock of a manufacturing company. The length of the ramp is... (answered by Boreal)

kayla wants to know how high a 15 inch piece of wood will reach on a nightstand she is... (answered by Alan3354,Theo)

A ramp at a loading dock is placed so that the end of the ramp is 42 ft from the base of... (answered by nyc_function)

Edwin is building a skateboarding ramp by propping the end of a piece of wood on a cinder (answered by ewatrrr)

Mr. Boline is building a ramp so that people in wheelchairs can access a building. If the (answered by ikleyn)

A ramp 23 feet in length rises to a loading platform that is 20 feet off the ground. What (answered by Alan3354)

A conveyor ramp carries heavy equipment up to an elevated platform. If the ramp starts at (answered by ankor@dixie-net.com)

PLEASE HELP ASAP! ADA says a ramp can go up at most 1 foot for every 12 feet of... (answered by Alan3354)

If a ramp starts at ground level 156 ft from the base of the platform and the angle of... (answered by stanbon)