an oak tree grows 500 meters north of the bottom of a rectangular park. The oak tree takes up a space of a circular area with a radius of 2.5 meters .The center of the tree is 24 meters from the left side of the park .The park is 200 meters wide and has a length of 1300 meters.How far is the northern part of the tree from the top of the park?
To find the distance from the northern part of the tree to the top of the park, we need to calculate the distance from the center of the tree to the top of the park and then subtract the radius of the tree.
First, let's find the distance from the center of the tree to the top of the park:
1. The total height of the park is 1300 meters.
2. The oak tree is located 500 meters north of the bottom of the park.
3. Therefore, the distance from the center of the tree to the top of the park is 1300 - 500 = 800 meters.
Now, since the tree is a circular area with a radius of 2.5 meters, we'll subtract this radius from the distance found above:
1. Distance from the center of the tree to the top of the park = 800 meters.
2. Radius of the tree = 2.5 meters.
3. Distance from the northern part of the tree to the top of the park = 800 - 2.5 = 797.5 meters.
So, the northern part of the tree is approximately 797.5 meters from the top of the park.