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.

math  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.

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

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

math  Mad man, Monday, October 12, 2015 at 10:06am
Thanks fot the wrong answer... really needed a negitave to my question...
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