Sine and cosine law in oblique triangles

AI Thread Summary
The discussion revolves around a word problem involving the leaning Tower of Pisa, where the tower leans at an angle of 5.5 degrees and casts a 90 m shadow with an elevation angle of 32 degrees. The slant height of the tower was calculated using the sine law, resulting in a measurement of 53.29 meters. Additionally, the height of the tower above ground was determined to be 53.04 meters using trigonometric functions. The answers were confirmed to be correct, indicating that the calculations were accurate. The discussion also touches on the direction of the shadow, suggesting it aligns with the tower's lean.
aisha
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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 that's why I am not sure if I did this correctly can someone please check :redface:
 
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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, you ur awnsers, are corrent. :smile:
 
Last edited:
53.04 m is the right answer. Good job! :smile:
 
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