If a support cable for a 65m tower is to make at 71-degree angle with the ground, then how long should the cable be, and how far from the base of the tower should the cable to anchored?

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Answer 1 · 2018-03-08T14:43:48

Cable#=64.51#m and distance between the base of the tower and the place where the cable is anchored is #21#m.

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Let above figure describe the situation as stated in the question.

#ABrarr#The tower

#BCrarr#the distance between the base of tower and the place where the cable is anchored.

#ACrarr#The length of the cable.

Now, In rt #DeltaABC#

#rarrtan71^@=(AB)/(BC)=61/(BC)#

#rarrBC=61/(tan71^@)approx21#m

Also, #sin71^@=(AB)/(AC)=61/(AC)#

#rarrAC=61/(sin71^@)approx64.51#

Hence, the cable should be #64.51#m and it should be anchored at a distance of #21#m from the base of tower.