help with finding side of triangle

Question

anonymous · Answer

Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. Find the height of the mountain to the nearest foot if Bob is 19,427.5 feet from the center of the mountain at the base.

zpupster · Answer

|dw:1443102710948:dw|

opp/adj = tan

anonymous · Answer

what does the 11 in the 25°11' mean then

dakid88 · Answer

tan(34 40/60) = h/(x-5280)
---
Therefore 0.4748x = 0.69157(x-5280) 
0.4748x = 0.69157x-0.09157*5280)
---
-0.2168x = -0.09157*5280
---
x = 2230 ft

anonymous · Answer

im confused where did you get the numbers for that

zpupster · Answer

so ht/19427.5 =tan25

dakid88 · Answer

yes

anonymous · Answer

what about the 11 in the equation?

anonymous · Answer

after the 25 degrees

zpupster · Answer

it is minutes

dakid88 · Answer

tht is divided by the  25

anonymous · Answer

how come were not using it then

anonymous · Answer

and also where did you get the number 5280 @dakid88

zpupster · Answer

you can use it 11/60 and get a decimal

anonymous · Answer

oh i see

anonymous · Answer

so where do i go from here then

dakid88 · Answer

get the answer

anonymous · Answer

thats what ive been needing help with