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  • Question 1
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    Two buildings of unequal heights are standing opposite to each other on either side of a road. From a point between them somewhere on the road, the angle of elevation of the top of the smaller building is 45° and that of the top of the other building is 60°. Which of the following is the correct diagram for this situation?

  • Question 2
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    The shadow of a tower, standing on level ground, is found to be 50 m longer when the sun's altitude is 30° than when it is 60°. Which of the following is the correct diagram representing this situation?

  • Question 3
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    From the top of a 10 m high building, the angle of elevation of the top of a tower is 45° and the angle of depression of its foot is 60°. How will you represent this situation diagrammatically?

  • Question 4
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    In the given figure, the angle of elevation of a cloud from a height 'h' above the water level in a lake is . What is the angle of depression of its image in the lake as observed from the same point?

  • Question 5
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    A man standing on the ground is looking at a hill of height 3000 feet. If the angle of elevation from the eye of the man to the top of the hill is 30°, find the distance of the man from the foot of the hill.

  • Question 6
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    The top of a conical tent is 200 feet above the ground. The vertical angle of the tent is 60°. What is its slant height?

  • Question 7
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    The angle of elevation of the top of a tower from a point at a distance of 50 m from its foot is 30°. Find the height of the tower.

  • Question 8
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    The angle of elevation of the top of a building from a point on the ground is 45°. If 'a' is the height of the building and 'x' is the distance of the point from the foot of the building, then which of the following relations is true?

  • Question 9
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    If two towers of heights 'a' and 'b' subtend angles 60° and 30°, respectively, at the midpoint of the line segment joining their feet, then find the value of a : b.

  • Question 10
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    The angle of elevation of the top of a 60 m high tower from a point on the ground is 60°. Find the distance between the foot of the tower and that point.

  • Question 11
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    If the length of the shadow of a pole is equal to the height of the pole, then find the angle of elevation of the sun's altitude.

  • Question 12
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    The shadow of an 8 inches long pencil standing vertically on a table is 8 inches long. Find the angle of elevation of the top of the pencil from the end point of its shadow.

  • Question 13
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    A tower stands vertically on the ground. From a point on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. Find the height of the tower.

  • Question 14
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    From the top of a building of height k, the angle of depression of a car on the ground is x. What is the distance of the car from the foot of the building?

  • Question 15
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    The angle of elevation of the top of a tower from a point at a distance of 60 m from its foot is 30°. Find the height of the tower.

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