As I mentioned, that Leaning Tower of Pisa word problem is still used in the trigonometry unit in Math 10. I actually had a good discussion with the students last year after watching this:
In an attempt to do something more hands-on in the trigonometry unit, I did a lab for estimating the height of a building using a simple clinometer. Here is the activity handout: Math 10 Lab Estimating Height. Feel free to use it and make it better!
For one class, it was raining, so I got the students to estimate the height of the classroom. (Always have a back-up plan in your lesson plan!)
I also challenged the students to get creative and find other ways to do the height estimate. One of my favourite solutions was from a group that took a picture of a classmate with the building and found the ratio of the student's height to the building height in the picture. Excellent use of proportional reasoning!
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