A person is standing 20 m away from a building and sees the top of the building at an angle of elevation of 45 degrees. What is the height of the building? (2019)
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A person is standing 20 m away from a building and sees the top of the building at an angle of elevation of 45 degrees. What is the height of the building? (2019)
Q: A person is standing 20 m away from a building and sees the top of the building at an angle of elevation of 45 degrees. What is the height of the building? (2019)
Step 1: Understand the problem. A person is standing 20 meters away from a building and sees the top of the building at an angle of elevation of 45 degrees.
Step 2: Identify the relevant information. The distance from the person to the building is 20 meters, and the angle of elevation 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: Substitute the known values into the formula. Here, distance = 20 m and angle = 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 = 20 m * 1.
Step 7: Calculate the final height. Therefore, Height = 20 m.
