# Math

A man travels from a village of X in a bearing of 060¤ to a village which is 20km away from Y.He travels to a village Z on a bearing of 195¤.If Z is directly east of X,calculate correct to 3 significant figures,the distance of:(i)Y from Z (ii)Z from X

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1. This is messed up. I can only assume that Y is 20km away from X. Otherwise there is no way to figure anything out, since you give no other distances.

If you draw the diagram, you can easily see that angles
X=30°, Y=45°, Z=105°

If we label the sides opposite X,Y,Z as x,y,z then using the law of sines,

x/sin30° = y/sin45° = 20/sin105°

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2. 10.35 and 14.64

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3. 3.35

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4. 33.4

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5. wher ie the diagram

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6. Just use the TOA ( tangent) = 3/5 = 0.6 . Tan inverse of 0.6 is approximately 31 degrees. Subtract 31 from 150 and your final answer will be 119 degrees.

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7. Wrong question sorry about that.

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8. Pls we need the diagram

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9. We really need the duagram(answer)

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10. Using the sine rule , they only gave us the distance of X to Y and the remaining wasn't given so we use the sign rule to get the distance of the remaining the final answer is: Y from Z is 10.4km and Z from X is 14.6km

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