a tree breaks in a storm at a point 7ft above the ground. the broken part forms a 20 degree angle with the ground. how tall was the tree

2 answers

Draw a diagram. If the height of the tree was h, then
7/(h-7) = sin20°
sin20 = 7/r
r = 7/sin20 = 20.5 Ft.
h = 7 + 20.5 = 27.5 Ft.