case study based questions 10th maths chapter 8

Answer Key 8.1Marks - 25

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Case study based questions10th Maths

Chapter 8 Introduction to TrigonometryPassage - 1 5 Marks

Abhay is studying in X standard. He observes a 2.5 m tall boy is standing at some distance from a 35.5 m tall building. The angle of elevation from his eye to the top of the building increases from 30° to 60° as he walks towards the building. Few questions came to his mind while observing boy. Give answers to his questions by looking at the Qgure.

41. R1 33 m

42. R2 m

43. R3 m

4:. R2 66 m

45. R1 m

Passage - 2 5 Marks

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Oadio towers are used for transmiBing a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure, including microwave dishes. They are among the tallest human-made structures. There are 2 main typesN guyed and self-supporting structures. n a similar concept, a radio station tower was built in two sections A and W . Tower is supported by wires from a point . Distance between the base of the tower and point is 36 m. From point , the angle of elevation of the top of section W is 30° and the angle of elevation of the top of section A is :5°. Find the answers to the following questionsN

41. R1 m

42. R3 m

43. R: m

4:. R2 m

45. R2 :5°







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Passage - 3 5 Marks

A clinometer is a tool that is used to measure the angle of elevation, or angle from the ground, in a right - angled triangle. Manish got a clinometer from school lab and started the measuring elevation angle in surrounding. He saw a building on which society logo is painted on wall of building. From a point P on the ground level, the angle of elevation of the roof of the building is :5° .The angle of elevation of the centre of logo is 30° from same point. The point P is at a distance of 2: m from the base of the building. Find the answers to the following questionsN

41. R3 m

42. R3 m

43. R2 m

4:. R:

45. R1

Passage - 4 5 Marks







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Mr. Colin is a xavy ojicer who is tasked with planning a coup on the enemy at a certain date. Currently he is inspecting the area standing on top of the clij. Agent Dev is on a chopper in the sky. ’hen Mr. Colin looks down below the clij towards the sea, he has Whawani and Amar in boats positioned to get a good vantage point. Whawani boat is behind the Amar boat. Following angles have been measured N From Colin to Whawani N 30° From Dev to Colin N 60° From Amar to Colin N 60° Find the answers to the following questionsN

41. R2

42. R3

43. R2

4:. R3

45. R:

Passage - 5 5 Marks







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Tower cranes are a common QIture at any maYor construction site. They re pret-ty hard to miss .They often rise hundreds of feet into the air, and can reach out Yust as far. The construction crew uses the tower crane to lift steel, concrete, large tools, and a wide variety of other building materials. A crane stands on a level ground. t is represented by a tower X , of height 11 m and a Yib P. The Yib is of length 20 m and can rotate in a vertical plane about . A vertical cable, P4 , carries a load 4 . The diagram shows current position of the Yib, cable and load. Find the answers to the following questionsN

41. R1 m

42. R2 30°

43. R1 60°

4:. R3 30°







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45. R: m







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case study based questions 10th maths chapter 8

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