Question
If the angular diameter of the sun is 20’, how far from the eye a coin of radius 3.3 cm be kept to hide the sun?
Solution
Arc AB = Diameter of coin = 3.3 × 2 = 6.6 cm θ = 20’ = (20/60)^° = (1/3)^° θ in radian = (1/3 × π/180)^c = (π/3)^c θ = arc/radius ⇒ π/540 = 6.6/r ∴ r = (6.6×540)/22 × 7 = 1134 cm.
More Height and Distance Questions
- The angle of elevation of the top of a tower from a point on the ground is 30°. On moving 20 m closer to the tower, the angle of elevation becomes 45°. Fin...
- From the top of a lighthouse, the angle of depression to the top and bottom of a tower is 30° and 45°, respectively. If the lighthouse is 210 metre...
- The angle of depression from the top of a light-house of two boats are 60° and 30° towards the west, if the two boats are 60m apart, then the height of the...
- A long metallic cable is stretched from a point P on the ground to the top of a cliff, forming an angle of 30 ° with the horizontal ground. The total lengt...
- There are two houses of the same height on both sides of a 15-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60° res...
- From a point on the ground, the angle of elevation of the top of a tower is 45°. On walking 20 m towards the tower, the angle of elevation becomes 60°. Fin...
- If distance between two pillars of length 9 & 4 cm is x cm. If two angle of elevation of their respective top from a point on ground of other are complemen...
- There is a fire in the building. A man on the top of the building see a Fire brigade van coming towards it. If it takes 8 minutes for the angle of depressi...
- In the village of Hazelton, there was a totem pole 50 m high of which the lower 24 m was carved. According to a clue the treasure was hidden at a point on ...
- At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top isÂ
Relevant for Exams:
