Final answer:
No, the height of an object measured by a theodolite is not just the height of the theodolite plus the height of the object. Theodolites are used in surveying to measure angles and distances, not heights. The height of an object can be determined using trigonometry and the theodolite can be used to measure the angles needed for these calculations.
Step-by-step explanation:
No, the height of an object measured by a theodolite is not just the height of the theodolite plus the height of the object. Theodolites are used in surveying to measure angles and distances, not heights. The height of an object can be determined using trigonometry and the theodolite can be used to measure the angles needed for these calculations.
For example, if you know the distance from the theodolite to the base of the object and the angle of elevation from the theodolite to the top of the object, you can use trigonometry to calculate the height of the object. This is done by using the tangent function: height = distance x tan(angle of elevation).
So, instead of simply adding the heights of the theodolite and the object, you would use the theodolite to measure the necessary angles and distances to calculate the height of the object.