Homework Help: pre-cal

Posted by ramla on Thursday, December 3, 2009 at 2:19pm.

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is . From a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is .
How high (in feet) is the mountain?

pre-cal - bobpursley, Thursday, December 3, 2009 at 2:37pm
draw the picture. Draw the triangles.

triangleOuter: set base to b. Heigth h, angle given, so tangent is given.
h=btanTheta1
TriangleInner: set base to b-1500, height h, angle tiven.

h=(b-1500)tanTheta2

solve for h.

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