Asked by Louella Beatrice

A line AB, 125 feet long, is measure along the straight bank of a river. A point C is on the opposite bank. Angles ABC and BAC are found to be 65 degrees 40' and 54 degrees 30' respectively. How wide is the river?
Answered by Anonymous
Draw altitude CD, length x (we want).
let y = AD
then 125 - y = BD
tan 65 40 = x/ (125-y)
tan 54 30 = x/y
solve for x and y, you need x, the altitude.
Answered by oobleck
If the width is w, then
wcotA + wcotB = 125
w = 125/(cot65°40' + cot54°30')
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