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anonymous
 one year ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 17°44'. When the boat stops, the angle of depression is 48°13' . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
anonymous
 one year ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 17°44'. When the boat stops, the angle of depression is 48°13' . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x1= 200/ tan 17°44' = .. x2 = 200/ tan 48°13' = ... The distance it traveled: x₁  x₂ = ...

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442888207816:dw You want to find x

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442888438629:dw Start by finding theta and using theta find y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i find theta?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be 90  48°13'

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Yup theta is correct sorry I marked beta wrong its dw:1442888983577:dw

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1so, now that you have theta, and you're already given one side, you can find y using trig

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how? like which theorem?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1okay, so you have dw:1442889317113:dw so you have the "adjacent" side and you're looking for the "opposite", according to SOH CAH TOA which trig function do you think is best to use?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1umm actually by using tan, we get; tanø = y/200 so y = 200.tanø

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yup, and you know what theta is, you had it right before, so sub theta in, to find y.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y = 200.tan(90  48°13')

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yes thats correct! now, we can apply the same techniques, to find z, tell me what you get for z

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0B = (90  48°13')+ 48°13'

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1hang on, use this diagramdw:1442890296933:dw

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442890336639:dw

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1hopefully thats clearer

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1so can you see how you would resolve for beta?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like what formula should i use

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1beta = 90  17 degrees 44 minutes

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1My diagrams are really bad hahah sorry about that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry i took so long to respond!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0tan(z/200) = beta = tan(z/200)= 90 17 degrees 44 minutes

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Sorry I was on the train ahaha. I think we should take this slow, so we established that beta is 90  17* 44' right? Do you agree?
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