1. The angle of elevation of the top of a tower at a point on the ground is 30^O. On walking 24 m towards the tower, the angle of elevation becomes 60^O. Find the height of the tower.
(a) 2.076 m
(b) 20.67 m
(c) 2 m
(d) None of these

2. A man wishes to find the height of a flag post which stands on a horizontal plane; at a point on this plane he finds the angle of elevation of the top of the flag post to be 45^O. On walking 30 meters towards the town he finds the corresponding angle of elevation to be 60^O. Find the height of the flag post?
(a) 69 m
(b) 70 m
(c) 71 m
(d) 74 m

3. The shadow of a vertical pole in of its height. Find the angle of elevation.
(a) 30^O
(b) 45^O
(c) 60^O
(d) 90^O

4. A man on the top of a town, standing on the sea share finds that a boat coming towardes him takes 10 minutes for the angle of depression to change from 30^O to 60^O. Find the time taken by the boat to reach the shore from the position.
(a) 5 min
(b) 10 min
(c) 8 min
(d) 15 min

5. 300m from the foot of a cliff on level ground, the angle of elevation of the top a cliff in 30^O. Find the height of this cliff.
(a) 173.20 m
(b) 193.20 m
(c) 180.00 m
(d) 183.20 m

6. A person of height 2 m wants to get a fruit which is on a pole of height m of he stands at distance of m from the foot of the pole, then the angle at which he should throw the stone, so that it hits the fruit in—
(a) 15^O
(b) 30^O
(c) 45^O
(d) 60^O

7. The angle of depression of two ships from the top of a lighthouse are 45^O and 30^O. If the ships are 120 m apart, find the height of the lighthouse.
(a) 40 m
(b) 44 m
(c) 50 m
(d) 60 m

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