Question

The two poles of height 15 M and 7.5 M stand upright on the ground the distance between them being 18 M find the length of a wire is stretched from the top of one pole to the top of another pole

Answer 1

Answer:

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Answer 2

The length of wire would be 19.5 meters

Step-by-step explanation:

Consider AB represents first pole and CD represents the other pole,

Also, O∈ AB

Such that, OB = CD and OC = BD,

We have,

AB = 15 m

CD = 7.5 m

BD = 18 m

⇒ OB = 7.5 m and OC = 18 m

⇒ AB - AO = 7.5

⇒ 15 - AO = 7.5

⇒ AO = 15 - 7.5 = 7.5 m

In triangle AOC,

Using Pythagoras theorem,

$AC=\sqrt{AO^2+OC^2}$

$=\sqrt{7.5^2 + 18^2}$

$=\sqrt{56.25+ 324}$

$=\sqrt{380.25}$

= 19.5 meters

Hence, the length of wire which connect the top of the poles would be 195 meters.

#Learn more:

Two poles of height 9 m and 14 m stand upright on a plane ground if the distance between the feet is 12 m then find the distance between their tops

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