Here's the question and answer someone asked me in a private message.  I'm listing it as a question here because I can't send an image in a pm.  Let me know if I have any part of it wrong.

A person standing on top of a cliff 50m high is in line with two boys whose angles of depression are 18° and 20°. calculate the distance between the two boys.

in Trigonometry Answers by Level 13 User (103k points)
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Yes, your answer checks out. I worked it out in a similar way and got 16.51m by subtracting the cotangents of the angles multiplied by 50. Since you worked out the answer yourself I've deducted the 40 points I received for this answer, since there's no facility for commenting on an answer provided in a question! I've taken the height differences of all three people to be negligible in comparison with the height of the hill, but if the angles of depression are measured from the top of the hill by an instrument lying flat on the ground and with the boys' feet in view rather than their heads, the heights don't come into it!

by Top Rated User (1.1m points)

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