Theodolite is extensively used by land surveyors, civil engineers and within housing industry to determine the angle on its telescope scale. From a point on the ground a surveyor reads the theodolite, the angles of elevation of the bottom and top of a tower fixed on the top of a 45 m high building as 45° and 60° respectively. a) Find the distance from the surveyor to the bottom of the building. b) Find the height of the tower.
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theodolite, basic surveying instrument of unknown origin but going back to the 16th-century English mathematician Leonard Digges; it is used to measure horizontal and vertical angles. In its modern form it consists of a telescope mounted to swivel both horizontally and vertically.
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