Question

please answer fast..

Answer 1

let h be the height of the tree.

in triangleABC,

tan30° = h / x

1/ √3 = h/ x => h = x/√3---(1)

in triangle ABD,

tan60° = h / (x - 40)

√3 = h/ ( x - 40)

√3 = (x/√3) /( x - 40)

√3 = x/√3 ( x - 40)

x = √3 × √3( x - 40)

x = 3x - 120 => 2x = 120

x = 60m

from(1) h = x/ √3

= 60/√3 =(60×√3)/(√3 ×√3)

= 60√3/ 3 = 20√3

= 20×1.73 = 34.6m

height of the tree = 34.6m

width of the river = x - 40

= 60 - 40 = 20m

Answer:

height of the tree = 34.6m, and width of the river = 20m