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
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 right-angle with the horizontal
The tower is off 5.5º from the vertical.
5.5º + ? = 90 ??