SOLUTION: AB is a line 652 ft long on one bank of a stream, and C is a point on the opposite bank. A=53 degree 18 min and B=48 degree 36 min. Find the width of the stream from C to AB.

Question 162648: AB is a line 652 ft long on one bank of a stream, and C is a point on the opposite bank. A=53 degree 18 min and B=48 degree 36 min. Find the width of the stream from C to AB.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Okay, we'll mark point "D" along line "AB" where it extends to point "C" on the opposite bank. So line is what we're looking for right?
Given:
AB=652ft
Points "A", "B", & "C" forms a triangle, where:
, *note
, *note

We need to get line "CB", by SINE LAW:

Now, points "B", "C", & "D" forms a right triangle, and we can solve for line by trigo functions. But 1st we solve for line DB:

----> REMEMBER
Now, for CD,

, ANSWER
To check, we use trigo function TANGENT;

, close enough! Bec. we're rounding off
Thank you,
Jojo

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