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anonymous

  • one year 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. anonymous
    • one year ago
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    @Jack1

  2. Jack1
    • one year ago
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    |dw:1439343553024:dw|

  3. Jack1
    • one year ago
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    |dw:1439343608565:dw|

  4. Jack1
    • one year ago
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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

  5. Jack1
    • one year ago
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    u ok with how to do that from here @PHUNISH ?

  6. anonymous
    • one year ago
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    but isn't there some formula use for this or do you just do it that way?

  7. Jack1
    • one year ago
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    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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  8. anonymous
    • one year ago
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    ohh okay thanks again I have like 3 or 4 more lol sorry but thanks for the explanation!

  9. Jack1
    • one year ago
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    nah wait hang on: easier to use SOH CAH TOA for these (right angled, my bad - duh-moment)

  10. Jack1
    • one year ago
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    sine (o) = opposite / hypotenuse... etc

  11. anonymous
    • one year ago
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    okay thats what I thought haha

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