Posted by **Anonymous** on Thursday, January 26, 2012 at 1:50pm.

the pont du gard near Nimes,france, is a roman aqueduct.an observer in a hot air balloon some distance away from the aqueduct determines that the angle of depression to each end is 54 degrees and 71 degrees,respectively.the horizontal distance between the balloon and the closest end of the aqueduct is 270.0m. calculate the length of the aqueduct to the nearest tenth of a metre

- physics?? -
**Ms. Sue**, Thursday, January 26, 2012 at 1:52pm
.

- no, trig -
**Damon**, Thursday, January 26, 2012 at 2:13pm
No, trig :)

Draw a sketch, h is height of balloon over bridge

tan 71 h/270

so

h = 270 tan 71 = 784

then

tan 54 = h/x where x is hor dist to other end from balloon

x = h/tan 54 = 570

so total length = 270 + 570 = 840 meters

## Answer This Question

## Related Questions

- Math - The Pont du Gard near NĂ®mes, France, is a Roman aqueduct. An observer in...
- Math - The Pont du Gard near Nimes, France is a roman aqueduct. An observer in a...
- Sine, cosine law - The Pont du Gard near Nimes, France is a roman aqueduct. An ...
- Math grade 11 - An observer in a hot air balloon some distance away from the ...
- Calculating distance(law of cosines) - Observers P and Q are located on the side...
- Trigonometry - A HOT AIR BALLOON IS 70 m ABOVE THE SEA. TWO BUOYS A AND B ARE ...
- French - SraJMcGin/Frenchy - Que remarquex-vous interessant dans tableau .....
- pre cal - Tamara is flying in a hot air balloon. The hot air balloon is flying ...
- physics - There are many ropes keeping a hot air balloon from floating away ...
- Calculus Related Rates - A hot air balloon, 50 feet from an observer, is rising ...

More Related Questions