Question

A vertical stick 10 cm long casts a show 8 cm long. at the same time a tower casts a shadow 30 m long. determine the height of the tower.

Answer 1

Stick Length : Shadow Length

10cm : 8cm       [vertical stick]
 ? cm : 30cm     [tower]

? cm
= (30 × 10) ÷ 8
= 300 ÷ 8
= 37.5cm

The height of the tower is 37.5cm.

Answer 2

Answer:

37.5 m

Step-by-step explanation:

Given :A vertical stick 10 cm long casts a show 8 cm long.

To Find : At the same time a tower casts a shadow 30 m long. Determine the height of the tower.

Solution:

A vertical stick 10 cm long casts a show 8 cm long.

Shadow : height = 8:10

At the same time a tower casts a shadow 30 m long

Let the height of the stick be x

Shadow : height = 30:x

So, A.T.Q

$\frac{8}{10}=\frac{30}{x}$

$x=\frac{30 \times 10}{8}$

$x=37.5$

Hence the height of the tower is 37.5 m