The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Tallest Buildings
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Burj Kahlifa
Makkah Royal Clock Tower Hotel
One World Trade
Taipei 101
Shanghai World Financial Center
International Commerce
Centre Petronas Towers
1 & 2
Zifeng Tower
Willis Tower
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Burj Kahlifa2,717 ft
Makkah Royal Clock Tower Hotel
1,972 ft One World Trade
1,776 ft
Taipei 1011,667
Shanghai World Financial Center
???? ftInternational
Commerce Centre1,588 ft
Petronas Towers
1 & 21,483 ft
Zifeng Tower
1,476 ft
Willis Tower1,453 ft
The North Carolina Geographic Alliance
http://geo.appstate.edu/NCGA
United Arab Emirates: Burj Khalifa
• Completed: 2010• Height: 2717 feet• Floors: 162• Elevators: 58• Language: Arabic• Religion: Muslim• Life Expectancy: 76.91• Percent Urban: 84.4%
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
If a student is standing 1000 ft away from the Burj Khalifa Building (2717 ft) find the angle of elevation for which he or she is looking up at the top of the building?
The North Carolina Geographic Alliance
http://geo.appstate.edu/NCGA
Saudi Arabia: Makkah Royal Clock Tower Hotel
• Completed: 2012 • Height: 1972 feet• Floors: 123• Elevators: 96• Language: Arabic• Religion: Muslim• Life Expectancy: 74.58• Literacy Rate: 87.2%
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
If a student looks up to the top of the Makkah Royal Clock Tower Hotel (1972 ft) at a 70⁰ angle, how far is he or she from the base of the building?
The North Carolina Geographic Alliance
http://geo.appstate.edu/NCGA
Taiwan: Taipei 101
• Completed: 2004• Height: 1667 feet• Floors: 106• Elevators: 61• Language: Mandarin Chinese • Religion: Buddhist & Taoist• Life Expectancy: 79.71• Population: 29,299,716
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
A student is standing in the observatory deck of the Taipei 101 (1667 ft) and looks down at a car below. If the angle of depression to the car is 52⁰, how far is the car from the base of the building?
The North Carolina Geographic Alliance
http://geo.appstate.edu/NCGA
China: Shanghai World Financial Center
• Completed: 2008• Height: 1614 feet• Floors: 104• Elevators: 91• Language: Mandarin Chinese • Religion: Taoist & Buddhist• Life Expectancy: 74.99• Percent Urban: 50.6%
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Find the angle of depression of a student looking down from the observatory deck of the Shanghai World Financial Center (1614 ft) at a friend 1500 ft from the base of the building.
The North Carolina Geographic Alliance
http://geo.appstate.edu/NCGA
China: International Commerce Center
• Completed: 2010• Height: student will calculate• Floors: 112• Elevators: 83• Language: Mandarin Chinese • Religion: Taoist & Buddhist• Life Expectancy: 74.99• Literacy Rate: 95.1%
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
How tall is the International Commerce Center building if a student is standing on the street 1200 ft from the base of the building and looks to the top of the building at a 52.8⁰?
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Understanding Check
• How does the angle of elevation change as the distance from the base of the building increases?
• How does the angle of depression change as the distance as the objected spotted on the ground below?
• How does the angle of depression change when the person spots objects further away from the base of the building?
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA
Enrichment
How would the angle of depression change if the student were riding on the Eye of London?
How would the angle of depression change if the student moved from the top observation deck to the lower observation deck?
The North Carolina Geographic Alliance http://geo.appstate.edu/NCGA