Question

two poles 8m and 16m high stand up right on the road. if their feet are 15 m apart from the, find the distance between their tops.

please find the answer in MATH ​

Answer 1

Given

• 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:-

$\huge \fbox \blue{H²=P²+B²}$

BD²= 8²+15²

BD² = 64 + 225

BD =√289 = 17

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

∴Distance between their tops = 17m