Question

A tree of 6m height casts a 4m long shadow,at the same time, a flag post casts a shadow 50m long. The height of post (in m) is

Answer 1

it is a direct proportion
$6 \div 4 \: \times x \div 50$
=7.5

Answer 2

Answer:

The height of the post is 75 m .

Step-by-step explanation:

As given

A tree of 6m height casts a 4m long shadow,at the same time .

(As the height is always proportional to the shadow .)

Let us assume that the height is denoted by y .

Let us assume that the shadow is denoted by x .

$y \propto x$

y = kx

As y = 6 m , x = 4m

6= 4k

$k = \frac{6}{4}$

As given

A flag post casts a shadow 50m long.

Let us assume that the height of the flag is represented by h .

y = h , x = 50 m

h = 50k

$k = \frac{h}{50}$

Compare the value of k .

$\frac{6}{4} = \frac{h}{50}$

$h = \frac{50\times 6}{4}$

h = 25 × 3

h = 75 m

Therefore the height of the post is 75 m .