Question

In given figure, the length of AP is ____________.

विकल्प

• `(8sqrt3)/3` cm

• `(80sqrt3)/3` cm

• `8sqrt3` cm

• `80sqrt3` cm

Answer 1

In given figure, the length of AP is `underline((80sqrt3)/3  "cm")`.

Explanation:

`because angle "APD" = angle "PAB"`......(alternate angles)

`therefore angle "APD" = 60^circ`

in rt. `angle "ADP , sin"  60^circ = "AD"/"AP" => sqrt3/2 = "AD"/"AP"`

`=> sqrt3  "AP" = 80`

`=> "AP" = 80/sqrt3`

`=> "AP" = 80/sqrt3 xx sqrt3/sqrt3`

`= (80sqrt3)/3  "cm"`