Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m then the distance between their tops is

Question

Philoid · Accepted Answer

Given: Height of pole 1 = 6 m

Height of pole 2 = 11 m

Distance between the feet of pole 1 and pole 2 = 12 m

To find: Distance between the tops of both the poles

Clearly, In ∆ ADE,

DE = 5 m

AD = 12 m

Also, ∠ADE = 90° [∵ Both the poles stand vertically upright]

∴ By applying Pythagoras theorem, we have

AE² = AD² + DE²

⇒ AE² = (12)² + (5)² = 144 + 25 = 169

⇒ AE = √169 = 13 m