Given that

Mathematics

1 answer:

fiasKO [112]2 years ago

5 0

The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively

<h3>How to solve ratio?</h3>

a : c = 1 : 6
b : c = 2 : 5

So,

a / b = 1/6

b/c = 2/5

lowest common multiple of c in both ratio

1/6 + 2/5

=(5 + 12) /30

a : b and b : c

= 5/30 and 12/30

Therefore,

a : b : c = 5 : 12 : 30

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Tamiku [17]

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3 years ago

Without using a trigonometric ratio, find the distance from the ship to the buoy, B. Round the distance to the nearest tenth of

alexdok [17]

Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:

the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship

The distance between the City and Lemont can be worked out using the Sin rule
$\frac{57.8}{sin(36)}= \frac{City-Lemont}{sin(92)}$
$City-Lemont= \frac{57.9sin(92)}{sin(36)} = 98.27.....$ ≈98.3

The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
$\sqrt{57.8^{2}- 44.6^{2} } =36.765...$ ≈36.8

The distance between the ship and the Buoy is given:
$98.3-36.8=61.5$ miles