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- Lukecrayonz

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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- Lukecrayonz

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- Lukecrayonz

554.56 ft
531.86 ft
494.06 ft
509.36ft

- Lukecrayonz

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

- kesumonu

yeah i can

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- phi

can you draw a picture of what is going on?

- kesumonu

|dw:1355073442144:dw|

- Lukecrayonz

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

- kesumonu

ignore the distorted line

- phi

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

- Lukecrayonz

I got 175 which isn't an option

- kesumonu

the amnswer |dw:1355073674356:dw|

- 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))

- Lukecrayonz

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

- kesumonu

509.4 approx

- kesumonu

which is one of the answer

- Lukecrayonz

THANK YOU

- kesumonu

u might have made some mistake in conversion of degree

- kesumonu

what is written in the bracket, clerify lil bit

- Lukecrayonz

it was supposed to be (x-π/3) sorry!

- 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

- kesumonu

is that ok or u need more clarification

- Lukecrayonz

that's good thank you!

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