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The Height of the cable tower is 7(1-√3) m
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Given :------
( First of all see image )
- AB = buliding = 7m
- BC = DE Base distance between tower and building.
- EC = x metre = Height of tower .
- angle ACB = 45°
- angle AED = 60°
Solution :-----
in ∆ABC first , we have ,
→ Tan 45° = AB /BC
→ 1 = 7m/BC
→ BC = 7m ..
_________________________
Now, since BC = DE = 7m .
in ∆ADE now,
→ tan60° = AD / DE
→ √3 = AD/7
→ AD = 7√3 m
________________________
Now, From diagram we can see that,
Height of Tower = EC = BD = AB - AD
→ BD = (7 - 7√3) = 7(1-√3) metre ..
___________________________
Hence, Height of Tower will be 7(1-√3) metre ..
#BAL
#answerwithquality
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