Find the height of a tree if the angle of elevation of its top changes from 20 to 40 as the observer advances?
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Find the height of a tree if the angle of elevation of its top changes from 20 to 40 as the observer advances 75 feet toward its base ?
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Answer:
Assuming this is a trigonometry question, draw two right triangles, one inside the other. The height of the tree (h) is one side of the right triangle. The inside triangle is x feet from the tree, and the angle from the end of x to the end of h is 40 degrees. The outside triangle has the same endpoint at h, but the base is (x+75) and the angle of end of this side to the end of h is 20 degrees. tan(40) times x = h, and tan(20)(x +75) = h, so tank(40) x = tan(20)(x+75) I don't have a calculator here, but if you solve for x, and then run tan(40) x, you will have h
JONE ASSAM at Yahoo! Answers Visit the source
Other answers
i actually just learned this today in class. Its a bit too much to explain mathematically on yahoo answers since u cant draw the triangles but search the sine rule on google. http://www.y-maths.co.uk/trisincosrl.htm here this will give u all you need to know for this question.
Tyson
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