Question

Two poles of height 8m and 17m high, stand upright in a playground. if there feet are 12m apart, find the distance between their tops.

Answer 1

Heya ,

pls check the attachment for ur ans

Answer 2

Hey there !!

➡ Given :-

→ Two poles AB and CD are stand upright on the playground of 8m and 17m respectively.

→ Distance between the feet of two poles (BC) is 12m.

➡ To find:-

→ Distance between the top of the two poles (AC).

➡ Construction :-

→ Draw a line AE $\perp$ CD.

➡ Solution :-)

=> AE = BC = 12m.

And,

=> CE = CD - ED.

=> CE = CD - AB. [ ED = AB]

=> CE = 17 - 8.

=> CE = 9m.

▶ Now,

↪ In ∆AEC,

=> AE $\perp$ CD.

→ ∆AEC is a right angled triangle.

▶ Therefore, By Pythagoras' theorem, we get

=> AC² = AE² + CE².

=> AC² = (12)² + (9)².

=> AC² = 144 + 81.

=> AC² = 225.

=> AC = √225.

$\huge \boxed{ \boxed{ \bf => AC = 15m. }}$

✔✔ Hence, the Distance between the top of the two poles is 15m. ✅✅

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