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April 19, 2014

Homework Help: Math (trigonometry)

Posted by Sammy on Monday, December 3, 2012 at 4:25pm.

From a boat on the water, the angle of elevation of the drop of a cliff is 31°. From a point 300 m closer, the angle of elevation is 33°. Find the height of the cliff.

the answer should be 2411 m.

I had tan31° = h/x+(x-300)
tan33° = h/x-300 -> (x-300)tan33° = h.

I subbed the first one into the second:
tan31° = (x-300)tan33°/x+x-300

I'm not sure how to go from there or if what I have so far is even right.

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