SOLUTION: The Tower of Niles is 94 feet high and has a lean (the distance from the base of the tower to the point that is aligned vertically with the top of the tower) of 7.4 feet. What angl

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Question 1068447: The Tower of Niles is 94 feet high and has a lean (the distance from the base of the tower to the point that is aligned vertically with the top of the tower) of 7.4 feet. What angle does the Tower of Niles make with the ground? How far would an ant have to walk to make it from the ground to the top of the tower? [I don't know what to do, please help]
Answer by ankor@dixie-net.com(22740) (Show Source):
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The Tower of Niles is 94 feet high and has a lean (the distance from the base of the tower to the point that is aligned vertically with the top of the tower) of 7.4 feet.
What angle does the Tower of Niles make with the ground?
How far would an ant have to walk to make it from the ground to the top of the tower?
:
draw this out as a right triangle. The base of the triangle is 7.5, the vertical is 94 ft. The length of the tower is the hypotenuse.
:
We can use the tangent to find the angle tower makes tan(A) =
Tan(A) =
Using a calc: tan^-1. Enter
A = 85.4382 degrees
:
Find the hypotenuse (c) (tower length) to find the ants walking distance
c =