SOLUTION: From a height of 50 m in his fire tower near Peace River, AB, a ranger observes two fires. One fire is due west at an angle of depression of 9 degrees. The other fire is due east a

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Question 1156636: From a height of 50 m in his fire tower near Peace River, AB, a ranger observes two fires. One fire is due west at an angle of depression of 9 degrees. The other fire is due east at an angle of depression of 7 degrees. What is the distance between the two fires, to the nearest metre?

Found 3 solutions by mananth, ikleyn, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
From a height of 50 m in his fire tower near Peace River, AB, a ranger observes two fires. One fire is due west at an angle of depression of 9 degrees. The other fire is due east at an angle of depression of 7 degrees. What is the distance between the two fires, to the nearest metre?
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Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Surely, the solution by @mananth is INCORRECT. So, you better IGNORE it, for your safety.


The correct solution is THIS :

      The distance is  50%2Ftan%289%5Eo%29 + 50%2Ftan%287%5Eo%29.

You do all necessary calculations.



Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Y = 50 tan 9, and X = 50 tan 7 from the OTHER PERSON, are WRONG