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It depends on the objects, how far apart they are and whether or not one can be seen from the other. If they are moderately far apart, echo location (sonar or radar) located at one of the objects can be used. A beam of radio or sound waves is aimed at the object and the time taken to receive an echo is measured. Since the speed of radio waves or sound waves in the relevant medium is known, the distance travelled by these waves can be calculated. The distance to the object is then half the calculated distance (the waves have to go there and come back).

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Q: To find the distances between two distant objects without the use of trigonometry?
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