Answer:The total height of the tree is 9.002 feet
Step-by-step explanation:
The given triangle bus a right angle triangle. With 35 degrees as the reference angle, the hypotenuse of the triangle is the longest side of the triangle. The opposite side of the triangle is the height of the tree.
The adjacent side of the triangle is his distance from the base of the tree. Therefore, adjacent side = 100 feet.
To determine the height if the tree, we would apply trigonometric ratio.
tan # = opposite side/adjacent side
tan 35 = opposite side/100
opposite side 100tan35 = 100×0.7002 = 7.002
The total height of the tree would be 7.002 + 2 = 9.002 feet