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# Stuck on homework problem

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A mountain is located 27 kilometers from a hilltop. From the hilltop, a surveyor determines that the angle of elevation to the top of the mountain is 6∘6∘ and that the angle of depression to the bottom of the mountain is 2∘2∘. How tall is the mountain? Round your answer to the nearest thousandth The degree symbol is ∘ by the way. Help appreciated!

Nov 26, 2019

#1
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You mean 2.2° and 6.6°?

Nov 26, 2019
#2
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I mean 2° and 6° my bad, screwed up the formatting...

evanborot  Nov 26, 2019
#3
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I hope it's right.

Nov 26, 2019
#4
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Omi  has the right approach, but I believe  the number should be 27 instead of 24

So  the height should be

27  [tan(6°)  +  tan (2°) ]   ≈  3.78  km

Nov 26, 2019
#5
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Ich muss besser hinsehen. Ich bin manchmal zu unkonzentriert. Das macht das Alter.

Nov 26, 2019
#6
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unkonzentriert =  inattentive, unfocused, lacking in concentration.

Das ist ein neues wort für mich.   Danke Omi

Melody  Nov 27, 2019