Answer:
4,486.93 ft
Step-by-step explanation:
Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.
Two right triangles can be modeled such that their tangent relationships yield:

Solving the linear system:

The mountain is 4,486.93 ft high.
5 1/2%=5.5%
5.5%=5.5/100=55/1000
55/1000=11/200
You want to find the volume inside the hemisphere
(i.e. inside the sphere but above the plane
) and outside the cylinder
. Call this region
.
In cylindrical coordinates, we have



(where
)


-5x > 35
-x > 7
(Divide it by 5)
Answer:d the arrow
Step-by-step explanation: