SOLUTION: The Petronas Towers in Kuala Lumpur, Malaysia, are the world’s tallest twin towers. Each tower is 1483 feet in height. The towers are connected by a skybridge at the forty-first

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Question 1139448: The Petronas Towers in Kuala Lumpur, Malaysia, are the world’s tallest twin towers. Each tower is 1483 feet in height. The towers are connected by a skybridge at the forty-first floor. What is the length and height of the skybridge?

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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The Petronas Towers in Kuala Lumpur, Malaysia, are the world’s tallest twin towers.
Each tower is 1483 feet in height.
The towers are connected by a skybridge at the forty-first floor.
What is the length and height of the skybridge?
:
Find the height (h) using the tangent of 53.6
tan(53.6) = h%2F412
h = tan(53.6) * 412
h = 558.82 ft is the height of the bridge
find side AC using Pythagoras
AC = sqrt%28412%5E2+%2B+558.82%5E2%29
AC = 694.28 ft
find Angle ACB
180 - 90 - 53.6 = 36.4 degrees
Find angle ACD
36.4 + 90 = 126.4 degrees
Find angle CDA
180 - 15.5 - 126.4 = 38.1 degrees
Use the law of signs to find CD, the distance between towers
%28CD%29%2Fsin%2815.5%29 = 694.28%2Fsin%2838.1%29
cross multiply
sin(38.1)*CD = 694.28 * sin(15.5)
sin(38.1)*CD = 185.38
CD = 185.38%2Fsin%2838.1%29
CD = 300.69 ft is the width of the bridge between the towers