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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
avatar+11059 
0

You mean 2.2° and 6.6°?

 Nov 26, 2019
 #2
avatar+30 
0

I mean 2° and 6° my bad, screwed up the formatting...

evanborot  Nov 26, 2019
 #3
avatar+11059 
+1

I hope it's right.

laugh

 Nov 26, 2019
 #4
avatar+106533 
+1

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

 

 

cool cool cool

 Nov 26, 2019
 #5
avatar+11059 
+1

Ich muss besser hinsehen. Ich bin manchmal zu unkonzentriert. Das macht das Alter. sad

 Nov 26, 2019
 #6
avatar+106954 
0

unkonzentriert =  inattentive, unfocused, lacking in concentration.

 

Das ist ein neues wort für mich.   Danke Omi      laugh

Melody  Nov 27, 2019

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