## anonymous one year ago help with finding side of triangle

1. anonymous

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.

2. zpupster

3. anonymous

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

4. dakid88

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

5. anonymous

im confused where did you get the numbers for that

6. zpupster

so ht/19427.5 =tan25

7. dakid88

yes

8. anonymous

what about the 11 in the equation?

9. anonymous

after the 25 degrees

10. zpupster

it is minutes

11. dakid88

tht is divided by the 25

12. anonymous

how come were not using it then

13. anonymous

and also where did you get the number 5280 @dakid88

14. zpupster

you can use it 11/60 and get a decimal

15. anonymous

oh i see

16. anonymous

so where do i go from here then

17. dakid88

18. anonymous

thats what ive been needing help with

19. dakid88

brb

20. anonymous

thats not any of the answer choices

21. Mertsj

|dw:1443103740128:dw|

22. anonymous

yes then what @Mertsj

23. Mertsj

$\tan 2511/60=\frac{x}{19427.5}$

24. anonymous

i have it set up like that i just dont remeber how to solve it thats what ive been trying to ask

25. Mertsj

$.89567=\frac{x}{19427.5}$

26. Mertsj

$.89567(19427.5)=x$

27. anonymous

i got 17,400

28. Mertsj

x= 17400.72 ft

29. anonymous

but that cant be the answer because its not any of the answer choices

30. Mertsj

31. anonymous

9135, 9235, 91351, 913515

32. anonymous

and 17400 isnt close to any

33. Mertsj

whoops. I must have misused the tangent function on my calculator. I now get .47020 for the tangent of 25 11/50 degrees.

34. anonymous

yeah i just figured it out thank you

35. Mertsj

$.47021=\frac{x}{19427.5}$

36. anonymous

i got it its 9141

37. Mertsj

$x= .47021(19427.5)=9134.9859$

38. Mertsj

yw