Bridge across the river

The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river.

Correct answer:

x =  2.1609 m

Step-by-step explanation:

a=89 m α=12°30=12°+6030°=12.5°=12.5  cos α = a : c  c=a/cosα=a/cos12.5° =89/cos12.5° =89/0.976296=91.16088 m  x=ca=91.160989=2.1609 m

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