trigonometry
posted by shyiah
A line AB, 125 feet long, is measured along the sraight bank of a river. A point C is on the opposite bank. Angles ABC and BAC are found to be 65° 40' and 54° 30' respectively. How wide is the river?

Steve
If you drop an altitude from C to AB, call it P, and if AP=x then BP = 125x. Then the river's width is CP. Call that w. We then have
w cotA + w cotB = 125
w = 125/(cotA+cotB)
Now just plug in your values for A and B.
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