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SSLC APLUS GENIUS QUESTION PAPERS

MATHEMATICS | MOST PREDICTED QUESTIONS


CHAPTER 5
Trigonometry


1 / 62

A person standing 80m away from a building observes the top of the building at an angle of elevation of 45°. What is the height of the building?

2 / 62

How is the sine of an angle in the unit circle defined?

3 / 62

What is the relationship between the sine and cosine of complementary angles?

4 / 62

The angle of elevation of the sun decreases from 60° to 30°. How does the length of the shadow of a 10m tall tree change?

5 / 62

A person stands 200m away from a building and observes the top of the building at an angle of elevation of 30°. What is the height of the building?

6 / 62

A street light casts a shadow of 15m when the angle of elevation of the sun is 30°. What is the height of the street light?

7 / 62

A car is parked 100m away from a building. The top of the building is observed at an angle of elevation of 60°. What is the height of the building?

8 / 62

A person is standing 150m away from a tree and observes the top of the tree at an angle of elevation of 45°. He walks towards the tree and stops at a point where the angle of elevation is 60°. How much distance did he cover?

9 / 62

A plane is flying at an altitude of 1000m and an observer on the ground sees it at an angle of elevation of 30°. How far is the plane from the observer?

10 / 62

A boat is sighted from a lighthouse, making an angle of depression of 30°. If the height of the lighthouse is 60m, what is the distance of the boat from the lighthouse base?

11 / 62

A person standing at a distance of 100m from a tower observes the top of the tower at an angle of elevation of 30°. He walks towards the tower and after covering 50m, he observes the top of the tower at an angle of elevation of 60°. What is the height of the tower?

12 / 62

A ladder is leaning against a wall, forming an angle of 60° with the ground. If the base of the ladder is 3m away from the wall, what is the length of the ladder?

13 / 62

What is the cosine of 60°?

14 / 62

An observer is 100m from a building and observes the top of the building with an angle of elevation of 30°. What is the height of the building?

15 / 62

A plane flying at an altitude of 2000m is observed at an angle of elevation of 30°. After 1 minute, the angle of elevation changes to 45°. What is the speed of the plane?

16 / 62

A kite is flying at a height of 100m. If the string makes an angle of 30° with the ground, what is the length of the string?

17 / 62

Which trigonometric function is undefined for an angle of 90°?

18 / 62

What is the value of tan(45°)?

19 / 62

A tree casts a shadow 30m long. If the angle of elevation of the sun is 45°, what is the height of the tree?

20 / 62

A street light casts a shadow 12m long when the angle of elevation of the sun is 30°. What is the height of the street light?

21 / 62

What is the measure of the angle of depression if the angle of elevation is 35°?

22 / 62

A building casts a shadow of 50m when the angle of elevation of the sun is 60°. What is the height of the building?

23 / 62

A tree is 30m tall. The angle of elevation from a point 50m away from the base of the tree is?

24 / 62

What is the value of cos(0°)?

25 / 62

A ship is sighted at an angle of depression of 20° from the top of a 200m lighthouse. How far is the ship from the lighthouse?

26 / 62

What is the length of the hypotenuse in a right-angled triangle with sides 6 and 8?

27 / 62

A ladder leans against a wall forming an angle of 60° with the ground. If the length of the ladder is 10m, what is the height reached on the wall?

28 / 62

A kite is flying at a height of 80m above the ground. The string attached to the kite makes an angle of 60° with the ground. What is the length of the string?

29 / 62

What is the value of sin(30°)?

30 / 62

What is the degree measure of an angle that is π/6 radians?

31 / 62

A ramp is inclined at an angle of 30° to the horizontal. If the length of the ramp is 10m, what is the height of the ramp?

32 / 62

How is the angle in radians defined in the unit circle?

33 / 62

A person is standing at the edge of a cliff 100m high. The angle of depression to a boat on the water is 30°. How far is the boat from the base of the cliff?

34 / 62

How is the angle of elevation defined in trigonometry?

35 / 62

What is the Pythagorean identity in trigonometry?

36 / 62

A helicopter is flying at a height of 150m. If the angle of elevation from a point 50m away horizontally is observed, what is the angle of elevation?

37 / 62

What is the tangent of an angle in a right-angled triangle?

38 / 62

A drone is flying at a height of 200m and is observed at an angle of elevation of 45° from a point on the ground. After 10 seconds, the angle of elevation changes to 30°. Assuming the drone is moving horizontally, what is the horizontal distance covered by the drone in 10 seconds?

39 / 62

What is the period of the sine function?

40 / 62

What is the relationship between the secant function and the cosine function?

41 / 62

Which trigonometric function is used to find the height of a building when the angle of elevation and distance from the building are known?

42 / 62

A person stands 50m away from a building. The angle of elevation to the top of the building is 60°. What is the height of the building?

43 / 62

What is the primary purpose of the sine function in trigonometry?

44 / 62

An observer on top of a hill 150m high observes a car moving towards the hill. The initial angle of depression of the car is 30°, and after 5 seconds, the angle of depression becomes 60°. What is the speed of the car?

45 / 62

A lighthouse is 100m tall and observes a boat at an angle of depression of 45°. After 5 minutes, the angle of depression changes to 60°. What is the speed of the boat?

46 / 62

A person looks at the top of a 50m tall tower from a distance of 50m. What is the angle of elevation?

47 / 62

How is the angle of elevation used in real-life applications?

48 / 62

A person is looking at the top of a tree from a distance of 50m, making an angle of elevation of 45°. What is the height of the tree?

49 / 62

A person stands at the top of a 100m high cliff and observes a boat at an angle of depression of 45°. How far is the boat from the base of the cliff?

50 / 62

A pole is leaning at an angle of 60° with the ground and its shadow is 5m long. What is the height of the pole?

51 / 62

How is the cosine of an angle in a right-angled triangle defined?

52 / 62

A person at a height of 50m above the ground observes another person standing 20m away horizontally. What is the angle of depression?

53 / 62

A flagpole is 20m tall. The shadow of the flagpole is 20m long. What is the angle of elevation of the sun?

54 / 62

If a triangle has sides of lengths 3, 4, and 5, what is the measure of the angle opposite the side of length 5?

55 / 62

What is the amplitude of the cosine function y = 3cos(x)?

56 / 62

A person is observing the top of a hill at an angle of elevation of 60° from a distance of 200m. After climbing 100m vertically, he observes the top of the hill at an angle of elevation of 45°. What is the height of the hill?

57 / 62

Which angle is a right angle in a triangle?

58 / 62

A man standing on the top of a 20m building observes a car parked at a distance, making an angle of depression of 45°. How far is the car from the building?

59 / 62

How is the cotangent of an angle in a right-angled triangle defined?

60 / 62

A flagpole is 12m tall. The shadow of the flagpole is 12√3m long. What is the angle of elevation of the sun?

61 / 62

What is the angle of depression in trigonometry?

62 / 62

What is the relationship between the sine and cosine of complementary angles?

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