Q: A person is standing 50 meters away from a statue. If the angle of elevation to the top of the statue is 45 degrees, what is the height of the statue?
Step 1: Understand the situation. A person is standing 50 meters away from a statue.
Step 2: Know that the angle of elevation to the top of the statue is 45 degrees.
Step 3: Remember that the angle of elevation is the angle formed between the horizontal line (the ground) and the line of sight to the top of the statue.
Step 4: Use the tangent function in trigonometry, which relates the angle to the opposite side (height of the statue) and the adjacent side (distance from the statue).
Step 5: The formula for height is: Height = distance * tan(angle).
Step 6: Plug in the values: Height = 50 meters * tan(45 degrees).
