The students in Mr. Collins class, use a surveyors measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure, and the distance to the nearest foot was the height of the building.
Without the diagram, I cannot provide specific measurements or calculations. However, I can explain the process of using a surveyor's measuring device to find the angle and distance to the top of a building.
1. The students would set up the surveyor's measuring device at their location and ensure it is level.
2. They would aim the device towards the top of the building and measure the angle between the horizontal line and the line connecting their location to the top of the building. This angle is typically measured in degrees.
3. Using the distance measuring feature of the device, the students would measure the distance between their location and the bottom of the building. This can be done by using laser measurements, optical measurements, or other methods depending on the specific surveyor's measuring device.
4. With the angle measurement and the distance measurement, the students can use trigonometry (specifically the tangent function) to calculate the height of the building. The height can be calculated using the formula: height = distance x tan(angle).
Overall, by using the surveyor's measuring device to measure the angle and distance to the building, the students can calculate its height.