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Geometry Level 2

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30 degrees, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60 degree. find the time taken by the car to reach the foot of the tower. (in seconds)

6 1.5 2 3

Karthik Rocks by Karthik Rocks , 22, India

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5 solutions

Ryan Redz
May 26, 2014

tan 30 = y/(x+6) equation 1.... tan 60 = y/x equation 2. then solve for x = 3

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Ashish Jha
Jun 15, 2014

let the height be H distance traveled by car in 6sec be 6v and the intial ditance be X now tan30=H\X and tan60= H/X-6v
i.e 3x-18v=x now you get X=9v distance = 9v-6v=3v time = 3 sec

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Rohit Kumar
May 27, 2014

tan30=h/6+x............... equ.-1 & Tan60=h/x ................ equ-2 Solved both equation and get ans which have value of x Sec

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Omar Isaac
May 27, 2014

When short leg (opposite to abgle 30) is equal to half hypotenias, so it is 3

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Simone Sibone
May 25, 2014

The answer is 3 secs.

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