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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???
2 Answers
- 9 years agoFavorite Answer
angles to vertical would be
α =90-13.7
and
ß =90-10.4
two right triangles
ABC and ABD where AB is the height of the mountain
tanα = BC/AB,[1]
tanß = (BC+5) / AB,[2]
from 1,2
solve for AB
