Question

10
Tower
Vijay's House
18.
Ajay's House
Vijay is trying to find the average height of a tower
near his house. He is using the properties of similar
triangles. The height of Vijay's house is 20 m when
Vijay's house casts a shadow 10 m long on the
ground. At the same time, the tower casts a
shadow 50 m long on the ground. At the same time,
the house of Ajay casts 20 m shadow on the
ground
i. What is the height of the tower?
a. 20 m
b. 50 m
c. 100 m
d. 200 m
ii. What will be the length of the shadow of the
tower when Vijay's house casts a shadow of
12 m?
a. 75 m
b. 50 m
c. 45 m
d. 60 m
iii. What is the height of Ajay's house?
a. 30 m
b. 40 m
c. 50 m
d. 20 m
iv. When the tower cast shadow of 40 m, Same
time what will be the length of the shadow o
Ajay's house?
a. 16 m
b. 32 m

Answer 1

Given : Vijay is trying to find the average height of a tower near his house. He is  using the propertiesof similar triangles.The height of Vijay's house is

20m when Vijay's house casts a shadow 10m long on the ground. At the

same time,the tower casts a shadow 50 m long on the ground. At the same

time, the house of Ajay casts 20 m shadow on the ground.

To Find : i. What is the height of the tower?

a) 20m   b) 50m   c) 100m   d) 200m

ii What will be the length of the shadow of the tower when Vijay's house casts a  shadow of 12m

a) 75m   b) 50m   c) 45m   d) 60m

iii. What is the height of Ajay's house?

a) 30m     b) 40m   c) 50m   d) 20m

iv. When the tower cast shadow of 40 m, Same time what will be the length

of the shadow of Ajay's house?

a) 16m   b) 32m   c) 20m   d) 8 m

v. When the tower cast shadow of 40 m, Same time what will be the length

of the shadow of Vijay's house?  

a) 15m   b) 32m   c) 16m   d) 8 m

Solution:

Vijay House = 20 m

Shadow = 10 m

Tower Height = H

Tower sahdow = 50 m

=> 20/10 = H/50

=> H = 100 m

Tower Height = 100 m

length of the shadow of the tower when Vijay's house casts a  shadow of 12m

=> 20/12 = 100/ S

=> S = 60

60 m shadow of the tower when Vijay's house casts a  shadow of 12m

What is the height of Ajay's house

=> 20/10  = h/20

=> h = 40

Ajay's house height = 40 m

tower cast shadow of 40 m, Same time what will be the length

of the shadow of Ajay's house

100/40 = 40/s

=> s = 16 m

shadow of Ajay's house = 16 m

tower cast shadow of 40 m, Same time what will be the length

of the shadow of Vijay's house

=> 100/40 = 20/s

=> s = 8 m

shadow of Vijay's house = 8 m

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