A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
1 answer:
9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.
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3rd equation: Combine like terms by adding 4x to both sides.
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5th equation: Divide both sides by -2, the coefficient of x.
The difference in the widths, in meters, of the human hair and the piece of sand is m.
It is given in the question that:-
Width of a human hair = m
Width of a piece of sand = m
We have to find the difference in the widths, in meters, of the human hair and the piece of sand.
We know that,
Difference between the widths = Width of a piece of sand - Width of a human hair
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Difference between the widths = m -
m
We can write,
Hence,
Difference between the widths =
m
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