Let

be the ellipsoid with equation

so that the volume of

is given by the triple integral

Consider the augmented spherical coordinates given by the identities

Computing the Jacobian, we find that the volume element is given by

so that the volume integral can be written as
36 over 25 is the answer Give the other person brainiest Thank U!
Answer:
total ground and wall angle is 90°
beam angle with ground= 51
beam angle with wall =39
because total angle=angle with ground + angle with wall
angle with wall=total angle-angle with ground
angle with wall= 90-51=39
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).
The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).
We can use the law of sines to solve this where:
sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches
We are told 1 in = 10.6 miles, therefore:
3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.