Step 1: Understand the problem. You have a tree and a person standing 20 meters away from it.
Step 2: The angle of elevation to the top of the tree is given as 45 degrees. This means if you draw a line from the person's eyes to the top of the tree, it makes a 45-degree angle with the ground.
Step 3: In a right triangle, the tangent of an angle is equal to the opposite side (height of the tree) divided by the adjacent side (distance from the tree).
Step 4: The formula for height is: Height = distance * tan(angle).
Step 5: Plug in the values: Height = 20 meters * tan(45 degrees).
Step 6: Since tan(45 degrees) equals 1, the calculation becomes: Height = 20 * 1.
Step 7: Therefore, the height of the tree is 20 meters.
