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The leaning tower of pisa leans toward the south at an angle of 5.5 degrees. One day a shadow was 90 m long and the elevation from the tip of the shadow to the top of the tower was 32 degrees

1)Determine the slant height of the tower.

First I found all the angles and then i used the sine law and got the slant to be 53.29 metres.

2) How high is the tip of the tower above ground?

I had a line from the tip of the tower perpendicular to the shadow and using sin=opposite/hypotenuse I determined what the opposite length was and got 53.04 metres

The two answers are quite close thats why im not sure if I did this correctly can someone plz check