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Sine and cosine law in oblique triangles

  • Thread starter aisha
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  • #1
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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 :redface:
 

Answers and Replies

  • #2
396
2
Trigonometery is not my stong point, but I want to ask does it tell which direction the shadow of the tower is pointing?
 
  • #3
193
0
From my expiences with these types of problems, id say the shadow is where the tower is leaning.
 
  • #4
193
0
Okay, ya ur awnsers, are corrent. :smile:
 
Last edited:
  • #5
Galileo
Science Advisor
Homework Helper
1,989
6
53.04 m is the right answer. Good job! :smile:
 

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