A man is standing on the ground and looking at the top of a building. If the ang
Practice Questions
Q1
A man is standing on the ground and looking at the top of a building. If the angle of elevation is 45 degrees and he is 10 meters away from the building, what is the height of the building?
10 meters
5 meters
15 meters
20 meters
Questions & Step-by-Step Solutions
A man is standing on the ground and looking at the top of a building. If the angle of elevation is 45 degrees and he is 10 meters away from the building, what is the height of the building?
Step 1: Understand the problem. A man is looking at the top of a building from a distance of 10 meters away.
Step 2: Identify the angle of elevation. The angle at which he is looking up to the top of the building is 45 degrees.
Step 3: Recall the formula to find the height of the building. The height can be calculated using the formula: Height = distance * tan(angle).
Step 4: Plug in the values into the formula. Here, the distance is 10 meters and the angle is 45 degrees.
Step 5: Calculate tan(45 degrees). The value of tan(45 degrees) is 1.
Step 6: Multiply the distance by the value of tan(45 degrees). So, Height = 10 * 1.
Step 7: Find the height of the building. Therefore, the height of the building is 10 meters.
Trigonometry – The problem tests the understanding of the tangent function in right triangles, specifically how to calculate height using the angle of elevation.
Angle of Elevation – Understanding the concept of angle of elevation and its application in real-world scenarios.
Distance Measurement – The importance of accurately interpreting the distance from the observer to the object being measured.
