Sine and cosine law in oblique triangles

[aisha]

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 that's why I am not sure if I did this correctly can someone please check

 

[theCandyman]

Trigonometery is not my stong point, but I want to ask does it tell which direction the shadow of the tower is pointing?

 

[cdhotfire]

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

 

[cdhotfire]

Okay, you ur awnsers, are corrent.

 

[Galileo]

53.04 m is the right answer. Good job!