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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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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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1439343722329:dw| so solve for x then solve for y then answer (how far did the boat travel) = y - x
u ok with how to do that from here @PHUNISH ?
but isn't there some formula use for this or do you just do it that way?
yep, but from here its just triangulation... as it's 2 right angled triangles if u look at it the right way so i'd use the Sine Rule for these ones (see attached)
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ohh okay thanks again I have like 3 or 4 more lol sorry but thanks for the explanation!
nah wait hang on: easier to use SOH CAH TOA for these (right angled, my bad - duh-moment)
sine (o) = opposite / hypotenuse... etc
okay thats what I thought haha

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