We're trying to find the height of a mountain.(adsbygoogle = window.adsbygoogle || []).push({});

First we have the measured altitude of 2 points at 3000 m above sea level.

Then, these two points are 10,000 m apart on the same axis(x axis, z axis is pointed up)

point A--> (0,0,0)

point B-->(10000,0,0)

We're trying to find the height of the mountain, the top of the mountain is point P.

Direction cosines:

Rap:

cos theta x= .5179

cos theta y= .6906

cos theta z= .5048

Rbp:

cos theta x=-.3743

cos theta y=.7486

cos theta z=.5472

Anybody? I've been stuck on this for a LONG time.

edit: well let me show what i've done so far (isn't much)

all i've written out is:

rapx/rap=.5179

rapy/rap=.6906

etc

but where do i go from here? I've drawn out triangles for each APx, APy, APz and same for BP, but none of this tells me anything or lets me continue. Nor do i know how the 10,000 plays a role in the equations other than |Rap| + |Rbp| =10,000m

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# Direction Cosines

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