because of the prevailing winds a tree grew so that it was l

because of the prevailing winds, a tree grew so that it was leaning 4 degrees from the vertical. At a point 40 meters from the tree, the angle of elevation to the top of the tree is 30 degrees. Find the height of the tree

Solution

We have to use law of sine here

<A=30, <B=90+4=94degree

<C=180-30-94=56 degree

SinC/40=sin A/h

sin 56/40=sin30/h

h= 40 sin 30/sin 56

h=24.12 m

And that\'s the height of the tree