A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower. Find the height
of the tower to the nearest foot. A) 158 feet B) 160 feet C) 196 feet D) 384 feet
2 answers:
Answer:
The height of the tower is 196 feet .
Option (C) is correct .
Step-by-step explanation:
By using the pythagoream theorem
Hypotenuse² = Perpendicular² + Base²
As given
A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower.
As the diagram is given below .
Hypotenuse= AB = 200 feet
Base = CB = 40 feet
Perpendicular = AC
Put all the value in the above
200² = 40² + AC²
40000 = 1600 + AC²
AC² = 40000 - 1600
AC² = 38400
AC = √38400
AC = 196 feet (Approx)
Therefore the height of the tower is 196 feet .
Option (C) is correct .
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