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37 sailboats
Trig. Word Problem HELP!!!?
I have two word problems that I can not figure out for nothing. Please HELP ME!!!
Problem 1:
A surveyor standing 55 meters from the base of a building measures the angle to the top of the building and finds it to be 37 degrees. The surveyor then measures the angle to the top of the radio tower on the building and finds it is 50 degrees. How tall is the radio tower?
Problem 2:
Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 23 mph in a direction 320 degrees. The second sails at 31 mph in a direction 190 degrees. Assuming that both boats maintain speed and heading, after 2 hours, how far apart are the boats?
Any help would be great. Thanks : D
The way this should be sloved is by using Law of Sines and Law of Cosines.
jljakktt81 thank you for the answer but that's not the way I need to anwer it.
1) Okay let x be height of building and
h be height of tower, then
tan(37)=x/55 and tan(50)=(x+h)/55.
Solving I get h= 24.101
2) With d being distance, then
d^2=(23*2)^2+(31*2)^2- (2*(23*2)*(31*2)* (cos(320-190)))
Solving, I get d=31.9404.
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37 Sailboat Racing
"Life is an adventure or it is nothing at all." Who said this originally? It will be on my headstone.
Calamity's video of the sailing mishap looks like a real adventure. I witnessed a similar situation on the south shoal of the potato patch outside San Francisco a few years ago. A 37 foot Canadian cruising sailboat pitchpoled over backwards. No reported fatalities. I always turn my stern to seas like that.
“Security is mostly a superstition. It does not exist in nature, nor do the children of men as a whole experience it. Avoiding danger is no safer in the long run than outright exposure. Life is either a daring adventure, or nothing.”
Helen Keller quote
Thought you might like this one, too.....
“I'm not afraid of storms, for I'm learning how to sail my ship.”
Louisa May Alcott quotes
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