Burj Kahlifa Shanghai World Financial Center Makkah Royal Clock Tower Hotel International Commerce Centre Zifeng Tower Taipei 101 Petronas Towers 1 & 2 One World Trade Willis Tower
Burj Kahlifa 2,717 ft Shanghai World Financial Center ???? ft Makkah Royal Clock Tower Hotel 1,972 ft Zifeng Tower 1,476 ft International Commerce Centre 1,588 ft Taipei 101 1,667 Petronas Towers 1 & 2 1,483 ft One World Trade 1,776 ft Willis Tower 1,453 ft
United Arab Emirates: BurjKhalifa • Completed: 2010 • Height: 2717 feet • Floors: 162 • Elevators: 58 • Language: Arabic • Religion: Muslim • Life Expectancy: 76.91 • Percent Urban: 84.4%
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?
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%
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?
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
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?
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%
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.
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%
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?
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?
Enrichment How would the angle of depression change if the student moved from the top observation deck to the lower observation deck? How would the angle of depression change if the student were riding on the Eye of London?