A man is standing 15 meters away from a wall. If he looks up at an angle of 30 degrees to see the top of the wall, what is the height of the wall?

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Q: A man is standing 15 meters away from a wall. If he looks up at an angle of 30 degrees to see the top of the wall, what is the height of the wall?

Solution: Height = distance * tan(angle) = 15 * (1/√3) ≈ 15 * 0.577 = 8.66 meters.

Steps: 9

Step 1: Understand the situation. A man is standing 15 meters away from a wall.
Step 2: He looks up at an angle of 30 degrees to see the top of the wall.
Step 3: We need to find the height of the wall using the distance and the angle.
Step 4: Use the tangent function from trigonometry. The formula is: Height = distance * tan(angle).
Step 5: Plug in the values: Height = 15 meters * tan(30 degrees).
Step 6: Know that tan(30 degrees) is equal to 1/√3 or approximately 0.577.
Step 7: Calculate the height: Height = 15 * (1/√3) = 15 * 0.577.
Step 8: Perform the multiplication: 15 * 0.577 ≈ 8.66 meters.
Step 9: Conclude that the height of the wall is approximately 8.66 meters.