SOLUTION: Two acacia trees are found on opposite side of a river. Paulo walks from tree A, 10m far away to point C and using an instrument, he finds that this point tree B is at angle 48 deg

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Question 1048801: Two acacia trees are found on opposite side of a river. Paulo walks from tree A, 10m far away to point C and using an instrument, he finds that this point tree B is at angle 48 degrees from tree A. What is the width of the river?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two acacia trees are found on opposite side of a river.
Paulo walks from tree A, 10m far away to point C and using an instrument, he finds that this point tree B is at angle 48 degrees from tree A.
What is the width of the river?
:
This can be drawn out like a right triangle. The 90 degree is at A
Use the tangent of 48 degrees
Side adjacent, AC = 10 m
Side opposite = width of the river (w)
:
Tan(48} = w%2F10
w = 10*1.11
w = 11.1 meters is the width of the river