A person is standing 30 meters away from a building. If the angle of elevation t
Practice Questions
Q1
A person is standing 30 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?
30 meters
45 meters
60 meters
75 meters
Questions & Step-by-Step Solutions
A person is standing 30 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 30 meters away from a building.
Step 2: Know that the angle of elevation to the top of the building is 45 degrees.
Step 3: Recall 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: Write the formula: height = distance * tan(angle).
Step 5: Substitute the values into the formula: height = 30 meters * tan(45 degrees).
Step 8: Conclude that the height of the building is 30 meters.
Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the building and the distance from it.
Angle of Elevation – Understanding how the angle of elevation relates to the height and distance in a right triangle.
