Question

A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day. At the same time, another tree nearby casts a shadow that is 20 yards long. How tall is the second tree?

8.0 yards
7.7 yards
7.3 yards
6.3 yards
6.1 yards

Answer 1

The ratio of tree:shadow must be equal
so
$\frac{33}{12} = \frac{20}{x}$
so
$x = \frac{240}{33}$
so 7.3 yards

Answer 2

Answer:

The height of second tree is 7 yards ( approx )

Step-by-step explanation:

Since, at the same time,

$\frac{\text{The height of tree}}{\text{The height of its shadow}}=\frac{\text{The height of another tree}}{\text{The height of its shadow}}$

Here, The height of first tree = 12 yards,

The height of its shadow = 33 yards,

While, the height of the shadow of another tree = 20 yards.

Let x be the height of another tree.

$\frac{12}{33}=\frac{x}{20}$

$12\times 20 = 33x$    ( By cross multiplication )

$\implies 33x = 240\implies x = \frac{240}{33}=7.27272\approx 7$

Hence, the height of second tree is 7 yards ( approx ).