# Sine and cosine law in oblique triangles

Word Problem
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 Related Introductory Physics Homework Help News on Phys.org
Trigonometery is not my stong point, but I want to ask does it tell which direction the shadow of the tower is pointing?

From my expiences with these types of problems, id say the shadow is where the tower is leaning.

Okay, ya ur awnsers, are corrent. Last edited:
Galileo
53.04 m is the right answer. Good job! 