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?

Question

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?

dumbcow · Answer

sin(32) = h/30
h = 30*sin(32)

anonymous · Answer

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.

dumbcow · Answer

im not 100% on this one
i used law of cosines and found the angle to be 100.3 degrees

anonymous · Answer

i would have to find angle a and c and add them together correct?

anonymous · Answer

or would i be finding angle b?

dumbcow · Answer

correct
between 130 and 180 i found angle 55.06
between 150 and 180 i found angle 45.27

anonymous · Answer

wait are you sure it isnt angle b?

dumbcow · Answer

whats your reference 
is angle c opposite of 180?
if it is then yes your right add a and b

anonymous · Answer

you start off with a parallelogram correct?

dumbcow · Answer

yes with 180 vector across middle

anonymous · Answer

yes and the top triangle i labeled bottom left as A top left as B and top right as C

dumbcow · Answer

oh  ok then, add A and C to find angle between 130 and 150 vectors

dumbcow · Answer

my A was 55
my C was 45