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...

## Answer This Question

## Related Questions

- trigonometry - Mickey determines that the angle of elevation from his position ...
- Math - 1. A rangers tower is located 44m from a tall tree. From the top of the ...
- precalculus - A radio tower is located 450 feet from a building. From a window ...
- geometry - An engineer determines that the angle of elevation from his position ...
- Trig - From a point P on level ground, the angle of elevation of the top of a ...
- Math - from a lockout tower 25 meters high, a man observes from a position 1.70 ...
- physics - 1) The angle of elevation to the bottom of a transmission tower on a ...
- Math - The angle of elevation to the top of a tower is 27 degrees, taken from a ...
- MAth Igcse - The angle of elevation of the top of a tower is 27 degrees from ...
- MAth Igcse - The angle of elevation of the top of a tower is 27 degrees from ...

More Related Questions