Posted by Pam on Friday, December 19, 2008 at 2:26pm.
The leaning tower of Pisa is 55.9 m tall and leans 5.5 degrees from the vertical. If its shadow is 90 m long, what is the distance from the top of the tower to the top of the edge of its shadow, assuming the ground around the tower is level?

Math  Reiny, Friday, December 19, 2008 at 3:24pm
the tower makes an angle of 84.5º with the ground.
let x m be the length of the shadow, then by the Cosine Law
x^2 = 90^2 + 55.9^2  2(90)(55.9)cos 84.5º
etc.

Math  Linda, Friday, December 19, 2008 at 3:29pm
where did you get the 84.5º from?

Math  Pam, Friday, December 19, 2008 at 3:30pm
thanks so much!

Math  Pam, Friday, December 19, 2008 at 3:50pm
oh yeah that's true where does the 84.5 degrees come from?

Math  Reiny, Friday, December 19, 2008 at 4:01pm
A vertical makes a rightangle with the horizontal
The tower is off 5.5º from the vertical.
5.5º + ? = 90 ??
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