A highway makes an angle of 6 degrees w/ the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the nearest hundredth of a mile, how high does the highway rise in this 5 mile section? Show steps

Question

anonymous · Answer

I was thinking |dw:1399270828094:dw|

anonymous · Answer

tan 6 degrees = x/5 
Am I on the right track ?

paki · Answer

you know here "theta" is 6 degrees... so using the relation... 

 tan(6) = rise/5

rise = 5*tan(6) ... solve now....

paki · Answer

yup your procedure is Also rite...

paki · Answer

what you got the value of rise...

anonymous · Answer

tan 6 = .105

anonymous · Answer

5*tan 6 = .526

paki · Answer

how you got .105 and .526...?

paki · Answer

just do like this....

tan (6) = rise/5...

rise = 5*tan(6)... so

rise = 0.525 miles

paki · Answer

@Shay17  now got it...

anonymous · Answer

Ok .. i'm still confused

paki · Answer

where....?  i hope the calculations are all simple and easy...

anonymous · Answer

They seem to be but I'm still confused on how I messed up

paki · Answer

where you are confused... tell me...?

anonymous · Answer

Idk how did I mess up I just wanna make sure I fully understand

paki · Answer

ahhh. so then have a look on my calculation and hope you will be satisfied... :)

anonymous · Answer

Yes so what would a good explanation be ?

anonymous · Answer

So wait the highway rises .53 miles in the 5 mile section ?

paki · Answer

yes... in 5 miles it has a slope of  0.53 miles...

anonymous · Answer

I'm good thank you I just had to re read it again ! :)

paki · Answer

ahhh pleasure :)

anonymous · Answer

@iambatman