An ant stands atop a grassy hill looking at a castle. A horizontal bridge 20 feet long crosses the gap, forming a right angle with the castle wall. The hill slopes down to a moat (water) that is 10 feet wide. The moat has 0 alligators because this is a math problem, not Louisiana. The castle is 38 feet tall, measuring from moat to roof. a) Draw a sketch showing all the information you have right now.

b) The angle of elevation from the ant to the castle roof is 54.5°. Find the height of the castle above the bridge to the nearest foot (whole number).

c) What is the distance of the vertical drop from the bridge into the moat?

d) Find the angle between the hillside and the underside of the bridge. You may assume that the hill's slope is perfectly straight.