Posted by Tim on Monday, July 16, 2012 at 10:23pm.
I am visualizing something like the Leaning Tower of Pisa.
The statement "A tower is 65 m high" is misleading, since height is measured along a perpendicular.
In the next sentence you say "the vertical distance from the top of the tower to the ground is 59 m"
Thus I will assume that the "length" of the tower is 65 m.
So in effect you have a right angled triangle with hypotenuse 65, and opposite side 59
let the angle at the base be Ø
sinØ = 59/65 = .90769...
Ø = 65.2° making the obtuse angle 114.8°
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