Sam's Tour of the Sydney Harbour Bridge
Storyboard Text
- Sam just moved from the UK to Sydney, and has hired a tour Guide to show him to the Sydney Opera House
- So how tall is the building then?
- This is the Sydney Opera House, the most famous landmark in the city. We are standing 200 meters away from the building, and the angle of elevation from us to the top is 45 degrees
- Height of Opera House
- Thank You!!
- we can work that out with what I just told you, through use of tangent ratio:tan(45) = height / 200200 * tan(45) = heightheight = 200 meters
- 200 meters
- 45 degrees
- The shape of the Opera House immediately reminded me of an outline of a triangle
- Yes that is very commonly mentioned, in actual fact, if a triangle was to be created using the top of the Opera House and each side at the bottom, the dimensions would be 250 meters, 350 meters, and 400 meters
- We could find the area of the Opera House in this 2-Dimensional plane as we are observing it from it's highest point and it's widest points. Using Heron's Formula, area is calculated by first finding s, which equals (250+350+400)/2=500. And then finding the difference between s and each side, then multiplying all of these numbers together, and then finding the square root of that result to find the final result. 500(500-250)(500-350)(500-400)=1.875e9. And the square root of this is 43301.27 meters squared.
- 250 meters
- What can I do with this information
- 400 meters
- 350 meters
- Thank you so much for the tour of the Opera House. I've got to get going now, Bye!
- No problems, Bye!
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