# Finding height using the direction cosines

1. Oct 4, 2009

### janahan

Sorry for the re-post

1. The problem statement, all variables and given/known data

http://books.google.ca/books?id=nYR...g direction cosines to measure height&f=false

The obove link has a coopy of the question as it is hard to describe.

If you find the link is too hard to read here is the data
Direction cosines:

of Rap(from point a to top of mountain):
cos theta x= .5179
cos theta y= .6906
cos theta z= .5048

of Rbp(from point b to top of mountain):
cos theta x=-.3743
cos theta y=.7486
cos theta z=.5472

b and a are 10000m apart. Find how high point p is.
It is on page 57 #2.82 (The mount everest question)

2. Relevant equations

3. The attempt at a solution
I attemted the question in a number of ways but can't seem to come to an answer. I tried Looking at it as two right angled triangles and using trig. Im not really sure what i can do with the direction cosines either.

2. Oct 5, 2009

### rl.bhat

Draw a perpendicular PO on the base of the mountain. Let PD, PE and PF on x, y and z axis passing through A.