A 30 foot rope that is used to hold a boat near a dock forms a 32 degree with the level of the water and is connected to the boat at this level. What is the height of the dock to the nearest tenth of a foot?

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A 30 foot rope that is used to hold a boat near a dock forms a 32 degree with the level of the water and is connected to the boat at this level. What is the height of the dock to the nearest tenth of a foot?

Mathematics
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sin(32) = h/30 h = 30*sin(32)
Two forces of 130 and 150 pound yield a resultant force of 180 pounds. Find, to the nearest tenth of a degree, the angle between the original two forces.
im not 100% on this one i used law of cosines and found the angle to be 100.3 degrees

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i would have to find angle a and c and add them together correct?
or would i be finding angle b?
correct between 130 and 180 i found angle 55.06 between 150 and 180 i found angle 45.27
wait are you sure it isnt angle b?
whats your reference is angle c opposite of 180? if it is then yes your right add a and b
you start off with a parallelogram correct?
yes with 180 vector across middle
yes and the top triangle i labeled bottom left as A top left as B and top right as C
oh ok then, add A and C to find angle between 130 and 150 vectors
my A was 55 my C was 45

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