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Pleaseeee helppp i need help with this

Pleaseeee helppp i need help with this-example-1
User Nataly Firstova
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2.5k points

1 Answer

14 votes
14 votes

Answer:

The bearing of B from C is 22° counterclockwise

Explanation:

∠CAB = 210 - 90 = 120°

Extend a line from A to the west.

drop a perpendicular line from that line to point C.

Let's call the point at the perpendicular point, M.

∠MAC = 180° - 120° = 60° because they are supplementary.

Now we have a right ∠CMA with a known hypotenuse and a known angle.

Solve for MA:

cos 60° = MA/3.8 = 1.9

Solve for MC:

sin 60° = MC/3.8 = 3.29

MB = 1.9 + 6.4 = 8.3

tan ABC = 3.29/8.3 = 21.62°

User Timothy James
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3.0k points