Answer:
Height of the tree = 14 feet
Step-by-step explanation:
The following illustration will form a right angle triangle. The tree will form the height which is the opposite side. The shadow cast by the tree will form the adjacent side while the angle of elevation is 30° to the hypotenuse.
Using SOHCAHTOA principle
TOA will be used to solve this
since the adjacent side is given which is the length of the shadow and we are looking for the opposite side which is the height of the tree.
shadow length(adjacent) = 25 feet
height of tree(opposite) = y
angle made with the ground = 30°
tan 30° = opposite/adjacent
tan 30° = y/25
cross multiply
25 × tan 30 = y
y = 0.5773502692 × 25
y = 14.43375673 feet
Height of the tree = 14 feet
