Question

Two poles of length 6cm and 11cm are 12 cm apart.The distance between their top is​

Answer 1

Answer:

The distance between their top is 13 cm.

Step-by-step explanation:

AB and CD are two poles ( in attachment )

AB = 6 cm ; CD = 11 cm

AE || BD , therefore , AB = ED = 6 cm

So , CE = CD - ED = 11 cm - 6 cm = 5 cm.

From figure , we can conclude that

∆ CEA is a right-angled triangle at E (90°)

${CA}^{2} = {CE}^{2} + {AE}^{2}$

$= > {CA}^{2} = {5}^{2} + {12}^{2}$

$= > {CA}^{2} = 25 + 144$

$= > {CA}^{2} = 169$

$= > CA = \sqrt{169}$

$= > CA = \sqrt{13 \times 13}$

$= > CA = 13$

The distance between their top is 13 cm