Question

12poles have been erected in a line,at equal distance along the side of a road.If the distance between the first and last pole is358m60cm.what is the distance between any two successive poles?​

Answer 1

Step-by-step explanation:

Since all 10 poles are subtending equal angles at O. Let the distance between two consecutive poles =d.

Distance form O to the smallest pole =a

Total base distance in right angled triangle =a+9d

tanα=

a+9d

h

Since all 10 poles are subtending equal angles at O. Let the distance between two consecutive poles =d.

Distance form O to the smallest pole =a

Total base distance in right angled triangle =a+9d

tanα= a+9dh

9dtanα+atanα=h

d= 9tanα

h−atanα= 9sinα

hcosα−asinα

9dtanα+atanα=h

d= 9tanα

h−atanα= 9sinα

hcosα−asinα