Posted by **Anonymous** on Thursday, September 19, 2013 at 11:12am.

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground, how far is John from the base of the tower? Round your answer to the nearest tenth.

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**Steve**, Thursday, September 19, 2013 at 11:56am
If the height of the tower is h higher than their eyes, and John is x away from the base,

h/x = tan 60°

h/(x+20) = tan 40°

Eliminating h, we get

x*tan60° = (x+20)*tan40°

Find x and add 1.5 to find the total height.

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**Anonymous**, Monday, December 16, 2013 at 6:04pm
25.50meters

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**Mad Man**, Wednesday, June 11, 2014 at 3:24pm
Thanks for the wrong answer

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