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I have a math question...?
From the summit of Mt. Kilimanjaro in Africa the angle of depression to herd of gazelles is 13.7 degrees, and after the herd has traveled 5 miles in a straight path away from the base of the mountain, the angle of depression is 10.4 degrees. Find the height of Mount Kilimanjaro to the nearest tenth of a foot.
I can solve this in thirty seconds with law of sines. But my teacher only wants me to use SOHCAHTOA. How the heck do I do this problem with just SOHCAHTOA???
1 Answer
- JacintaLv 79 years agoFavorite Answer
I guess you could use the TOA bit. Say that the herd is x miles away and that Kilimanjaro is h miles high.
tan 13.7° = h/x
tan 10.4° = h/(x + 5)
Convert miles to feet as applicable.
Of course, if we're working out Kilimanjaro's height to the nearest inch (or thereabouts) with such wobbly data, we'll need some gazelle dimensions. :)
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Plugged into WolframAlpha, it looks like this. (No gazelles at this stage.)
http://www.wolframalpha.com/input/?i=%7Btan+13.7+%...
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