Question

Two trees of height a and b are p metre apart.

(i) Prove that the height of the point of intersection of the lines joining the top of each tree to the foot of the opposite trees is given by ab / a + b m

(ii) Which mathematical concept is used in this problem ?

(iii) What is the value of trees in our life ?

Answer 1

(i) Let AB and CD be the two trees of height a and b metre such that the trees are p metre apart i.e., AC = p. Let the lines.AD and BC meet at O such that OL =h  m.

(ii) Similar Triangles. 

(iii) Trees are helpful to keep our life in this world. They shouldbe saved at any cost