Question

"A person looks at different trees in an open space with the following details. Arrange the trees in decreasing order of their apparent sizes.

Tree Height(m) Distance from the eye(m)
A 2.0 50
B 2.5 80
C 1.8 70
D 2.8 100"

Answer 1

answer : D- B -A -C this is the correct order.

Answer 2

Let the tree make a visual angle θ with the eyes.

θ=Height of the tree/ Distance from the eye

For tree A: 2.0/50=0.04

B 2.5 /80=0.03125

C 1.8/ 7.0=0.0257

D 2.8 /100=0.028

θA > θB > θD > θC

The more the value of θ, the bigger the apparent size of the tree.

So, the arrangement in decreasing order is A, B, D and C.