Math
posted by Pam on .
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?

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. 
where did you get the 84.5º from?

thanks so much!

oh yeah that's true where does the 84.5 degrees come from?

A vertical makes a rightangle with the horizontal
The tower is off 5.5º from the vertical.
5.5º + ? = 90 ?? 
84.5 degrees:
90+5.5=95.5
18095.5=84.5