Balloon and bridge

From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge.

Correct result:

x =  34.0969 m

Solution:

h=92 m A=9037=53 B=90(30+30/60)=1192=59.5  x1=h tanA=h tan53 =92 tan53 =92 1.327045=122.08812 m x2=h tanB=h tan59.5 =92 tan59.5 =92 1.697663=156.18501 m  x=x1x2=122.0881156.185=34.0969 m



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