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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 16° 23'. When the boat stops, the angle of depression is 49° 29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest hundredth.

Mathematics
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554.56 ft 531.86 ft 494.06 ft 509.36ft
@kesumonu glucy7 says you're a math wizard! Can you help me?
yeah i can

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Other answers:

  • phi
can you draw a picture of what is going on?
|dw:1355073442144:dw|
Well I drew a picture @phi but I think I'm doing something wrong so I don't want to post one
ignore the distorted line
  • phi
If you can't draw the picture, you probably won't solve the problem what did you get?
I got 175 which isn't an option
the amnswer |dw:1355073674356:dw|
initially boat is at a and finally it stops at b the ans ss 22 answer would be 200(cot(49.29)-cot(16.23))
But doing that would give me 472 which isn't an answer choice :o @kesumonu
509.4 approx
which is one of the answer
THANK YOU
If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2(x - ), what should be used for Xmin and Xmax? Explain your answer. @kesumonu I also need help with this one and after this @glucy7 and I won't bother you...
u might have made some mistake in conversion of degree
what is written in the bracket, clerify lil bit
it was supposed to be (x-π/3) sorry!
the shape of this function y is similar to cos(2x) Xmin can be pi/3 Xmax would be pi+(pi/3) Xmax depends on Xmin
is that ok or u need more clarification
that's good thank you!

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