A man on the fifth floor of a building shouts down to a person on the street. If the angle of elevation from the street to the man in the building is 35° and the man in the building is 40 feet up, about how far away from the building is the person on the street?

Question

anonymous · Answer

A)
	28 feet 	
	

B)
	55 feet 	
	

C)
	56 feet 	
	

D)
	57 feet

anonymous · Answer

|dw:1370656241983:dw|

anonymous · Answer

$$\sin(35)=\frac{40}{x}\iff x=\frac{40}{\sin(35)}$$ and a calculator

anonymous · Answer

...i can't get it.

anonymous · Answer

hmmm i don't get any of those answers...

anonymous · Answer

are you sure those are the right choices?

anonymous · Answer

Here's the picture that is with the question.

jim_thompson5910 · Answer

you use tangent, not sine

jim_thompson5910 · Answer

tan(35) = 40/x

x*tan(35) = 40

x = 40/tan(35)

x = ???

anonymous · Answer

D ?

anonymous · Answer

oooh how far is the building from the man, not the two man
doh

jim_thompson5910 · Answer

yeah somewhat of a trick question

anonymous · Answer

what @jim_thompson5910  said
i should learn to read

jim_thompson5910 · Answer

57 ft is correct

anonymous · Answer

@satellite73 thank you for trying to help! 
@jim_thompson5910 Thank you for giving the answer!

anonymous · Answer

$$x=\frac{40}{\tan(35)}$$ http://www.wolframalpha.com/input/?i=40%2Ftan%2835%29