Question

two poles of 10m and 15m stand upright on a plane ground. if the distance between the tops is 13m .find the distance between their feet​

Answer 1

Step-by-step explanation:

Let AB and CD be the poles of heights 15 m and 10 m

given AC=13 m.

from the diagram, we can write

CD=BE=10 m

AE=AB−BE=15−10=5 m

from △AEC,

AC

2

=AE

2

+EC

2

(using pythagoras theorem)

⇒(13)

2

= 5

2

+(EC)

2

⇒(EC)

2

=169−25

⇒ EC =

144

⇒ EC = 12

∴EC=BD=12 m

Therefore 12 m is the distance between the feet of the poles.

solution

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