Case Based Questions (MCQ)

Chapter 6 Class 10 Triangles
Serial order wise

## When the tower casts a shadow of 40m, same time what will be the length of the shadow of Vijay’s house? (a) 15 m (b) 32 m (c) 16 m (d) 8 m

### Transcript

Question 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 Vijayβs house if 20m when Vijayβs house casts a shadow 10m long on the ground. At the same time, the tower casts a shadow 50m long on the ground and the house of Ajay casts 20m shadow on the ground. Question 1 What is the height of the tower? (a) 20 m (b) 50 m (c) 100 m (d) 200 m Since the triangles are similar Their sides are proportional (π―πππππ ππ π½ππππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π½ππππ^β² π πππππ)=(π―πππππ ππ π»ππππ)/(π³πππππ ππ ππππππ ππ π»ππππ) 20/10=(π»πππβπ‘ ππ πππ€ππ)/50 50 Γ 2 = Height of Tower Height of Tower = 100 m So, the correct answer is (c) Question 2 What will be the length of the shadow of the tower when Vijayβs house casts a shadow of 12 m? (a) 75 m (b) 50 m (c) 45 m (d) 60 m If Vijayβs house casts a shadow of 12 m, Then (π―πππππ ππ π½ππππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π½ππππ^β² π πππππ)=(π―πππππ ππ π»ππππ)/(π³πππππ ππ ππππππ ππ π»ππππ) 20/12=100/(πΏππππ‘β ππ π βππππ€ ππ πππ€ππ) Length of shadow of tower = 100 Γ 12/20 Length of shadow of tower = 5 Γ 12 Length of shadow of tower = 60 m So, the correct answer is (d) Question 3 What is the height of Ajayβs house? (a) 30 m (b) 40 m (c) 50 m (d) 20m Since the triangles are similar Their sides are proportional (π―πππππ ππ π½ππππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π½ππππ^β² π πππππ)=(π―πππππ ππ π¨πππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π¨πππ^β² π πππππ) 20/10=(π―πππππ ππ π¨πππ^β² π πππππ)/20 20 Γ 2 = Height of Ajayβs house Height of Ajayβs house = 40 m So, the correct answer is (b) Question 4 When the tower casts a shadow of 40m, same time what will be the length of the shadow of Ajayβs house? (a) 16 m (b) 32 m (c) 20 m (d) 8 m Since the triangles are similar Their sides are proportional (π―πππππ ππ π»ππππ)/(π³πππππ ππ ππππππ ππ π»ππππ)=(π―πππππ ππ π¨πππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π¨πππ^β² π πππππ) 100/40=ππ/(π³πππππ ππ ππππππ ππ π¨πππ^β² π πππππ) Length of shadow of Ajayβs house = 40 Γ 40/100 Length of shadow of Ajayβs house = 4 Γ 4 Length of shadow of Ajayβs house = 16 m So, the correct answer is (a) Question 5 When the tower casts a shadow of 40m, same time what will be the length of the shadow of Vijayβs house? (a) 15 m (b) 32 m (c) 16 m (d) 8 m Since the triangles are similar Their sides are proportional (π―πππππ ππ π»ππππ)/(π³πππππ ππ ππππππ ππ π»ππππ)=(π―πππππ ππ π½ππππ^β² π πππππ)/(π³πππππ ππ ππππππ ππ π½ππππ^β² π πππππ) 100/40=ππ/(π³πππππ ππ ππππππ ππ π½ππππ^β² π πππππ) Length of shadow of Vijayβs house = 20 Γ 40/100 Length of shadow of Vijayβs house = 2 Γ 4 Length of shadow of Vijayβs house = 8 m So, the correct answer is (d)

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.