A man is standing 40 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
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A man is standing 40 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
Q: A man is standing 40 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
Step 1: Understand the problem. A man is standing 40 meters away from a building.
Step 2: Identify the angle of elevation to the top of the building, which is 45 degrees.
Step 3: Recall the relationship between the angle of elevation, the height of the building, and the distance from the building. We can use the tangent function.
Step 4: The formula for height (h) is: height = distance * tan(angle).
Step 5: Substitute the values into the formula: height = 40 meters * tan(45 degrees).
