Step 1: Understand the problem. You have a person standing 25 meters away from a wall and looking up at the top of the wall at an angle of 75 degrees.
Step 2: Visualize the situation. Imagine a right triangle where one side is the height of the wall, the other side is the distance from the person to the wall (25 meters), and the angle between the ground and the line of sight to the top of the wall is 75 degrees.
Step 3: Use the tangent function. In a right triangle, the tangent of an angle is equal to the opposite side (height of the wall) divided by the adjacent side (distance to the wall). So, tan(75 degrees) = height / 25 meters.
Step 4: Rearrange the formula to find the height. Height = distance * tan(75 degrees).
Step 5: Calculate tan(75 degrees). You can use a calculator to find that tan(75 degrees) is approximately 3.732.
Step 6: Plug in the values. Height = 25 meters * 3.732.
