Question

a vertical pole of height 24
m is supported by a taut steel cable attached from the top of the pole on level ground 14m from the foot of the pole​ what is the length of the cable

Answer 1

Answer: Here, the vertical pole makes a right angle with ground, so use Pythagoras Theorem to find the required value.

Let OB be the vertical pole and AB be the wire.

In ∆AOB,

AB² = OB² + OA²

[ by using pythagoras theorem]

(24)² = (18)² + OA²

576 = 324 + OA²

576 - 324 = OA²

252 = OA²

OA = √ 252

OA = √(6 × 6 × 7 )

OA = 6√7 m

Hence, the distance of the stake from the base of pole is 6√7 m.

Step-by-step explanation: