Question

Two poles 8m high 13m high are placed opposite to each other across a 12m long road. Find the distance between their tops

Chapter name: squares and square roots

Answer 1

Sol:
Given:
Two poles AD and CE of height 6 m, 11 m respectively.

Distance between the feet of two poles (DC) = 12 m

AD = BC = 6 m

BE = CE - BC = 11- 6 = 5 m

To prove : Find AE

Proof : According to Pythagoras theorem,

AE2 = AB2 + BE2

AE2 = 122 + 52 = 169

AE = 13.

∴ Distance between the tops of two poles = 13 m.

same as this

Answer 2

Answer:The distance between their tops of the poles is 13 m.

Step-by-step explanation:

Given:Two poles 8 m high 13 m high are placed opposite to each other across a 12 m long road.

To find:We have to find the distance between their tops.

Explanation:

Step 1:Let the height of pole$AB$ is 8 m and height of pole $CD$ id 13 m and distance between the poles from bottom $BD$

Step 2:According to the diagram the height of $AB =$ $DE$ = 8 m and

$BD = AE$ respectively.

∴           $EC = CD - DE$

i.e.        $EC = 13 - 8$

            $EC = 5 m.$

Step 3:On applying the $pythagoras$ theorem in Δ$ACE$.We get

                 $(AC)^{2} = (AE)^{2} +(EC)^{2}$

                 $(AC)^{2} = (12)^{2} +(5)^{2}$

                 $(AC)^{2} = 144+25$

                 $(AC)^{2} = 169$

                     $AC =\sqrt{169}$

                     $AC =13 m$

∴ The distance between their tops of the poles is 13 m.

Concept:Pythagoras Theorem-Pythagoras theorem states that “In any right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides of that triangle“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. The hypotenuse is the longest side, as it is opposite to the angle 90°.

#SPJ2

Two poles 15m high and 6m high are placed opposite to each other across a 8m long

https://brainly.in/question/31553361

If two poles of height 10m and 15m stand vertically on a plane ground if the distance between their feet is 5root3m, find the distance between their tops

https://brainly.in/question/930559