two men on either side of a cliff 80m high observe the angle of elevation of the top of the cliff to be 30 degree and 60 degree respectivel. find the distance between the two men?

let AB BE THE HEIGHT OF THE CLIFF AND CD BE HE DISTANCE AMONG THE TWO MEN

IN TRIANGLE ABC

TAN 30 = AB/BC

1/ROOT 3 = 80/BC

BC = 80 ROOT 3 ......1

IN TRIANGLE ABD

TAN 60 = AB/BD

ROOT 3 = 80/ BD

BD = 80/ROOT 3.......2

THE DISTANCE BETWEEN IS CD

CD = BC +BD

CD = 80ROOT 3 + 80 / ROOT 3

THERFORE CD = 80(ROOT 3 + 1/ ROOT 3)

THUMBS UP...........PLSS