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.

## Answer This Question

## Related Questions

- trig - A survey team is trying to estimate the height of a mountain above a ...
- math - A survey team is trying to estimate the height of a mountain above a ...
- angles - A survey team is trying to estimate the height of a mountain above a ...
- Maths - Say I'm at an unknown distance from a mountain, called point P, and I ...
- Maths - A surveyor measures the angle of elevation of the top of the mountain ...
- math - if someone could please help that would be muchly appreciated. A group of...
- Trigonometry - At a point on a level ground, the angle of elevationof a mountain...
- trig confused.. pls help - A group of mountain climbers are using trigonometry ...
- Physics - A projectile is fired with an initial velocity of 300m/s.upward at an ...
- Precalculus - To estimate the height of a building, two students find the angle ...

More Related Questions