Question

CASE STUDY:
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.
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

Answer 1

Answer:

1.c

2.d

3.b

4.a

5.c

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Answer 2

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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