Question

A tree grows at a rate of 0.5m per year. What will be the height of a board fixed at 1.5m
above the base, five years ago?
A. 4m
B. 3.5m
C. 1.5m
D. 4.5m

Answer 1

Hint:- The height of the tree is the vertical distance between the tree's roots and the tip of the tree's tallest branch, and is difficult to precisely determine. It is not the same as the trunk length. When a tree leans, the length of the trunk can be greater than the height of the tree. The tree base is where the pith (centre) of the tree projection intersects the current supportive surface on which the tree grows or where the seed sprouts.

Complete Answer:-
One of the criteria widely calculated as part of different champion tree systems and documentation initiatives is tree height. Height, girth, crown spread, and volume are other widely used parameters defined in the tree calculation.
According to the question, the rate of growth of the plant is 0.5 meter per year.
After 5 years, the plant height will be \[\]\[0.5 \times 5 = 2.5m + 1.5m = 4m\].
Therefore, the board was fixed at 1.5 m,
After 5 years, the height of the board will be equal to the new height of the board minus the initial height of the plant with the board, that is, $$\[2.5m-1.5m = 1.5m\].
Thus, the right option is C.

Note:- Of the different methods of approximating tree heights, the stick method and the tape and clinometer (tangent) method are the better choices, needing only a small amount of equipment. Care must be taken to get precise measurements for any process. To see where the exact top of the tree is located, attempt to view the tree from several different angles first. For the calculations, use that point. This would remove the greatest error potential.