Question

Tow Poles stand on the ground, with their feet 24m apart. if these poles are respectively 12m and 19m in height, find the distance between their tops.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge\mathfrak\blue{\:\:Answer\:\:}$

Let AB and CD be the given poles such that

AB = 12m, CD = 19m and AC = 24m

Join BD.

From B, draw BM ⊥ CD

Then,

CM = AB = 12m, BM = AC = 24m and

MD = CD - CM = (19-12)m = 7m

Now,

∆BMD is right angled at M

$By \: Pythagoras \: Theorem$

BD² = BM² + MD²

= (24²+7²)m²

= (576+49)m²

= 625m²

= (25m)²

→ BD = 25m

Hence, the distance between the tops of the poles is 25m