A person is standing 45 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 person is standing 45 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 person is standing 45 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. You have a person standing 45 meters away from a building.
Step 2: Know that the angle of elevation to the top of the building is 45 degrees.
Step 3: Remember that the tangent of an angle in a right triangle is the opposite side (height of the building) divided by the adjacent side (distance from the building).
Step 4: For an angle of 45 degrees, the tangent value is 1. This means height = distance.
Step 5: Calculate the height of the building using the formula: Height = distance * tan(angle).
