An electric pole is 10 m high. A stell wire tied to the top of the pole is affixed at a point on the ground to keep the upright. If tue wire makes an angel of 45° with the horizontal through the foot of the pole, find the length of the wire . About the author Hadley
[tex]\huge\bf{Solution}[/tex] Given : OA = 10 m ( electric pole) ∠B = 45° Let OA be the electric Pole and B be the point on the ground. Let BA = x cm In ∆ABO sin 45° = AO /AB (perpendicular/ hypotenuse) 1 / √ 2 = 10 / x x = 10 √2 x = 10 × 1.414 (Given √2 = 1.414) x = 14.14 m Hence, length of the wire is 14.14 m. Reply
[tex]\huge\bf{Solution}[/tex]
Given :
OA = 10 m ( electric pole)
∠B = 45°
Let OA be the electric Pole and B be the point on the ground.
Let BA = x cm
In ∆ABO
sin 45° = AO /AB (perpendicular/ hypotenuse)
1 / √ 2 = 10 / x
x = 10 √2
x = 10 × 1.414 (Given √2 = 1.414)
x = 14.14 m
Hence, length of the wire is 14.14 m.