Question

Two poles 8 m and 16 m high stand up right up on the road if their feet are 15 m apart. Find the distance between their tops.
FOR CLASS 7TH(NCERT)​

Answer 1

Answer:

Height of first pole = 8m

Height of second pole = 16m

Distance between the feet of poles = 15m

To Find:-

The distance between the tops of the two poles.

Solution:-

Let the height of the first pole be AB = 8m

And height of the season pole be DC = 16m

• AC = 15m

Let us draw a line BE perpendicular to CD. i.e BE ⊥CD

And, AC ⊥ DC

So, BE = AC = 15m

And, AB = EC = 8m

Now:-

\implies⟹ DE=DC−EC

⟹DE=16−8

⟹DE=8m

In△BED

By applying Pythagoras Theorem:-

\huge \fbox \blue{H²=P²+B²}

H²=P²+B²

BD²= 8²+15²

BD² = 64 + 225

BD =√289 = 17

\underline{\boxed{\therefore \textsf{\textbf{Distance \: between \: their \: tops = 17m}}}}

∴Distance between their tops = 17m

∴Distance between their tops = 17m

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation: