Recently about 70 metric tons of soil were removed from unde

Recently, about 70 metric tons of soil were removed from under a leaning tower, and the angle the tower made with the ground was increased by about
0.9 degrees°.
Before that, a point near the top of the tower was
50.4
m from a point at the base (measured along the tower), and this top point was directly above a point on the ground
4.85
m from the same base point. See the given figure. How much did the point on the ground move toward the base point?

PLEASE SHOW ALL WORK.

Solution

Side adjacent = 4.85, Hypotenuse = 50.4
Cos(A) = 4.85/50.4
A = 84.4779 degrees
:
If .5 degrees is added to it: 84.4779 + .5 = 84.9779 degrees is angle A now

Find the new side adjacent, call it x:
cos(84.9779)=x/50.4
.075466 = x/50.4
x = .0875 * 50.4
x = 4.4120 m is the side after shifting of the tower .5 degree
:
so,the distance the point moved: 4.85 - 4.4120 = .438 meter or 43.8cm