Two poles 8m and 16m high stand up right on the road. if their feet ar

1.	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» 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

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»

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