A vertical stick which is 15cm long a 12cm long shadow on the ground at the same time the vertical tower most 50 metre long shadow on the ground find the height of tower.
Answers
Answer:
The height of the tower is 6250 cm
Step-by-step explanation:
Let us assume that the height of an object be x .
Let us assume that the shadow of an object be y .
x = ky
(As the shadow of an object is always proportional to shadow of an object.)
As given
A vertical stick of 15cm long casts a 12cm long shadow on the ground .
x = 15cm
y = 12 cm
Putting in the equation
15 = 12k
Where k is the proportionality constant .
At the same time a vertical tower casts a 50m long shadow on the ground.
Let us assume that the height of vertical tower be h .
x = h
Convert 50 m into cm .
As 1m = 100 cm
50m = 50 × 100 cm
= 5000 cm
y = 5000 cm
Putting all the values in x = ky .
h = 5000k
Compare the equation of k .
h = 6250 cm
Therefore the height of the tower is 6250 cm .