Question

Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.​

Answer 1

Question :-

Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their ffeet

Answér :-

Let PQ and AC are two poles having height 8 m and 14 m respectively.

i.e. PQ = 8 m and AB = 14 m

The distance between their feet is 10 m

i.e. PA = 10 m.

Now, from the figure,

BC = 6 m and BQ = 12 m

The triangle CBQ is right-angled.

Applying Pythagoras Theorem, we get

↪(CQ)² = (BC)² + (BQ)²

↪(CQ)² = (6)2 + (12)2

↪(CQ)² = 36 + 144

↪(CQ)² = 180

↪CQ = √(180)

↪CQ = 6√5

Since distance can not be negative,

So, CQ = 6√5 m