Question

two poles are of height 28m and 36m and distance between them is 15 m .find the distance between the top of the poles

Answer 1

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Here is the solution:

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Find the difference in the height of the two poles:

36 - 28 = 8 m

Find the distance between the top of the poles:

a² + b² = c²

15² + 8² = c²

c² = 15² + 8²

c² = 289

c = √289

c = 17 m

Answer: The distance between the top of the two poles is 17m

Answer 2

$\huge \boxed{ \mathbb{ \ulcorner ANSWER: \urcorner}}$


→ Let AB and CD is two poles of height 36m and 28m.

→ BD is the distance between the two poles is 15m.

→ And, AC is the distance between the two poles from the top.


▶ Now,

→ AE = AB - EB.

=> AE = 36 - 28. [ EB = CD = 28m.]

=> AE = 8m.


▶ In ∆AEC. Angle E is 90°.

➡ By Pythagoras theorem.


=> ( AC )² = ( AE )² + ( EC )².

=> AC² = 8² + (15)².

=> AC² = 64 + 225.

=> AC² = 289.

=> AC = √289.

=> AC = 17m.


✔✔ Hence, the distance between the two poles from the top is ( AC ) 17m. ✅✅

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