After the tree is broken, it makes a right angle triangle with horizontal leg being 20 m and making 38° with the hypotenuse.
The height of the tree before it broke constitutes the sum of upright leg and the hypotenuse.
Using sine rules,
tan 38 = Upright leg/Horizontal leg => Upright leg = Horizontal leg * tan 38 = 20*tan 38 = 15.63 m
Additionally,
Hypotenuse = Sqrt (Upright leg^2 + Horizontal leg^2) = Sqrt (15.63^2+20^2) = 25.38 m
Therefore,
Height of before it broke = 15.63 + 25.38 = 41.01 m
