The measure of the angle between the top of the ladder and the tree is 53 degrees
The distance form the base of the ladder to the tree is 18.58 ft
The length of the ladder is 23.26 ft
How to find the require parts
The measure of the angle between the top of the ladder and the tree is solved using complementary angle as made possible by right triangle.
angle between the top of the ladder and the tree = 90 - 37 = 53 degrees
The distance form the base of the ladder to the tree (DF) is solved using trigonometry tan
tan 37 = 14 / DF
DF = 14 / tan 37
DF = 18.58 ft
The length of the ladder (DE) can be calculated using Pythagoras theorem or trigonometry. Let's trigonometry cos
cos 37 = DF / DE
cos 37 = 18.58 / DE
DE = 18.58 / cos 37
DE = 23.26 ft