A barrel was 2/3 full of water. After 60 liters were used from the barrel, it was 5/12 full. how much water does the barrel hold
1 answer:
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Ah...Trigonometry is fun!
The law of sines states:
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
We then plug in our given values to find C
Solving, we get 0.8557316387. We're not done yet!
We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation.
:)
The law of sines states:
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
We then plug in our given values to find C
Solving, we get 0.8557316387. We're not done yet!
We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation
:)