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

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