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NNADVOKAT [17]
4 years ago
9

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th

e angle of depression to the boat is 18°33'. When the boat stops, the angle of depression is 51°33'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

Mathematics
1 answer:
dexar [7]4 years ago
8 0
\tan(51^o 33')=  \frac{200}{base1}
<span>
base1= 158.802

</span>\tan(18^o 33')= \frac{200}{base2}
<span>
base2=596.008

the distance travelled = 596.008 - 158.802 = 438 m</span>

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H^2=P^2+B^2\\\\(x+2)^2=x^2+(x+1)^2\\\\x^2+4x+4=x^2+x^2+1+2x\\\\x^2+4x+4=2x^2+2x+1\\\\x^2-2x^2+4x-2x+4-1=0\\\\-x^2+2x+3=0\\\\x^2-2x-3=0\\\\x^2-3x+x-3=0\\\\x(x-3)+1(x-3)=0\\\\(x+1)(x-3)=0\\\\x=-1,3

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Read 2 more answers
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