Question

Two trees of height a and b metre apart
1. 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
2. Which mathematical concept is used?​

Answer 1

h = ab/(a + b) , similar triangle concept used

Step-by-step explanation:

ΔCOL ≈ ΔCBA

h/a  = x/(x + y)

ΔAOL ≈ ΔADC

h/b  = y/(x + y)

adding both

h/a + h/b = x/(x + y) +y/(x + y)

=> (bh + ah)/ab = (x + y)/(x + y)

=> h(a + b)/ab = 1

=> h = ab/(a + b)

QED

Similar triangle concept is used

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