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Lukecrayonz

  • 2 years 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 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.

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  1. Lukecrayonz
    • 2 years ago
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    554.56 ft 531.86 ft 494.06 ft 509.36ft

  2. Lukecrayonz
    • 2 years ago
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    @kesumonu glucy7 says you're a math wizard! Can you help me?

  3. kesumonu
    • 2 years ago
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    yeah i can

  4. phi
    • 2 years ago
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    can you draw a picture of what is going on?

  5. kesumonu
    • 2 years ago
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    |dw:1355073442144:dw|

  6. Lukecrayonz
    • 2 years ago
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    Well I drew a picture @phi but I think I'm doing something wrong so I don't want to post one

  7. kesumonu
    • 2 years ago
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    ignore the distorted line

  8. phi
    • 2 years ago
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    If you can't draw the picture, you probably won't solve the problem what did you get?

  9. Lukecrayonz
    • 2 years ago
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    I got 175 which isn't an option

  10. kesumonu
    • 2 years ago
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    the amnswer |dw:1355073674356:dw|

  11. kesumonu
    • 2 years ago
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    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))

  12. Lukecrayonz
    • 2 years ago
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    But doing that would give me 472 which isn't an answer choice :o @kesumonu

  13. kesumonu
    • 2 years ago
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    509.4 approx

  14. kesumonu
    • 2 years ago
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    which is one of the answer

  15. Lukecrayonz
    • 2 years ago
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    THANK YOU

  16. Lukecrayonz
    • 2 years ago
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    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...

  17. kesumonu
    • 2 years ago
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    u might have made some mistake in conversion of degree

  18. kesumonu
    • 2 years ago
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    what is written in the bracket, clerify lil bit

  19. Lukecrayonz
    • 2 years ago
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    it was supposed to be (x-π/3) sorry!

  20. kesumonu
    • 2 years ago
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    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

  21. kesumonu
    • 2 years ago
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    is that ok or u need more clarification

  22. Lukecrayonz
    • 2 years ago
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    that's good thank you!

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