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
- 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 30Β° and 60Β° res...
- Two buildings are collinear with the base of a tower and are at a distance 9m and 16m from the base of the tower. The angles of elevation from these two bu...
- The two buildings are 100m apart. From the top of the first building, which is 60m tall, the angle of depression to the top of the second building is 45 de...
- From the top of an upright pole 30β3 feet high, the angle of elevation to the top of an upright tower was 60Β°. If the foot of the pole was 55 feet away fro...
- The length of the shadow of a vertical tower increases by 9 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then find ...
- Two ships are on opposite sides in front of a lighthouse in such a way that all three of them are in line. The angles of depression of two ships from the t...
- From a point 20 m away from the foot of a pole, the angle of elevation of the top of the pole is 60 degrees. Find the height of the pole.
- Now a chord of a circle is such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the center is.
- Find the angle of elevation of a 125 β 3m tower's top from a point 125 m away from its base.
- The angle of elevation of an aeroplane from a point on the ground is 60Β°. After 15 seconds flight the elevation changes to 30Β°, if the aeroplane is flying ...