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⇱ Quiz about Trigonometry & Height and Distances

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Question 1

What is the maximum value of 3 Sinθ + 4 cosθ?

  • 12

  • 5

  • 6

  • 1

Question 2

What is minimum value of Sinθ + cosθ ?

  • -2

  • √3/2

  • -1

  • -√2

Question 3

If tan (x+y) tan (x-y) = 1, then find tan (2x/3)?

  • 1/√3

  • 1/2

  • 1/√2

  • 2/√3

Question 4

Find the Value of tan30o + tan120o?

  • √3

  • -1/√3

  • 0

  • -2/√3

Question 5

The least value of 2sin2θ + 3cos2θ

  • 1/3

  • 4/3

  • 2

  • 3/4

Question 6

The angle of elevation of the sun, when the length of the shadow of a tree is 1/√3 times the height of the tree, is:

  • 30o

  • 45o

  • 60o

  • 90o

Question 7

From a point A on a level ground, the angle of elevation of the top of a tower is 30 degrees. If the tower is 100 m high, the distance of point A from the foot of the tower is:

  • 148 m

  • 156 m

  • 173 m

  • 200 m

Question 8

Amit is standing at a point P is watching the top of a tower, which makes an angle of elevation of 45° with Amit's eye. He walks some distance towards the tower to watch its top and the angle of elevation becomes 60°.

What is the distance between the base of the tower and the point P?

  • 4.2 units

  • 8 units

  • 10 units

  • Data inadequate

Question 9

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?

  • 32 kmph

  • 36 kmph

  • 40 kmph

  • 44 kmph

Question 10

x = a cos(t), y = b sin(t) is the parametric form of

  • Ellipse

  • Hyperbola

  • Circle

  • Parabola

There are 10 questions to complete.

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