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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

554.56 ft 531.86 ft 494.06 ft 509.36ft

2. Lukecrayonz

@kesumonu glucy7 says you're a math wizard! Can you help me?

3. kesumonu

yeah i can

4. phi

can you draw a picture of what is going on?

5. kesumonu

|dw:1355073442144:dw|

6. Lukecrayonz

Well I drew a picture @phi but I think I'm doing something wrong so I don't want to post one

7. kesumonu

ignore the distorted line

8. phi

If you can't draw the picture, you probably won't solve the problem what did you get?

9. Lukecrayonz

I got 175 which isn't an option

10. kesumonu

the amnswer |dw:1355073674356:dw|

11. kesumonu

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

But doing that would give me 472 which isn't an answer choice :o @kesumonu

13. kesumonu

509.4 approx

14. kesumonu

which is one of the answer

15. Lukecrayonz

THANK YOU

16. Lukecrayonz

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

u might have made some mistake in conversion of degree

18. kesumonu

what is written in the bracket, clerify lil bit

19. Lukecrayonz

it was supposed to be (x-π/3) sorry!

20. kesumonu

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

is that ok or u need more clarification

22. Lukecrayonz

that's good thank you!

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