SOLUTION: A hiker sights the top of a 2228m high mountain at an angle of elevation of 12. After walking towards the mountain he sights it at an angle of elevation of 22. How many kilometres

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Question 900606: A hiker sights the top of a 2228m high mountain at an angle of elevation of 12. After walking towards the mountain he sights it at an angle of elevation of 22. How many kilometres did the hiker walk?
Hope you can help me with this. Cheers!
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


We are trying to find AB.

First we find AC using triangle ACD

tan%28%2212%B0%22%29=2228%2FAC

AC%2Atan%28%2212%B0%22%29=2228

AC=2228%2Ftan%28%2212%B0%22%29

AC=10481.91588

Next we find BC using triangle BCD

tan%28%2222%B0%22%29=2228%2FBC

BC%2Atan%28%2222%B0%22%29=2228

BC=2228%2Ftan%28%2222%B0%22%29

BC=5514.493509

AB=AC-BC=10481.91588-5514.493509=4967.422375

Answer rounded to nearest meter = 4967 m.

Edwin