<PRE><B>Question 1139448</B>
 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/412}}}
h = tan(53.6) * 412
h = 558.82 ft is the height of the bridge
find side AC using Pythagoras
AC = {{{sqrt(412^2 + 558.82^2)}}}
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
{{{(CD)/sin(15.5)}}} = {{{694.28/sin(38.1)}}}
cross multiply
sin(38.1)*CD = 694.28 * sin(15.5)
sin(38.1)*CD = 185.38
CD = {{{185.38/sin(38.1)}}}
CD = 300.69 ft is the width of the bridge between the towers
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