Posted by **Tim** on Monday, July 16, 2012 at 10:23pm.

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59m. What obtuse angle does the tower make with the ground?

- Math Gr12 (advanced functions) -
**Reiny**, Tuesday, July 17, 2012 at 12:21am
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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