a spherical ball of radius 4 cm placed on the ground subtends an angle of 60° a point pon the ground. then the distance at the point p from the centre of the ball is
1. 6cm
2. 2cm
3. 8cm
4.none
please tell answer
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Answers
a spherical ball of radius 4 cm placed on the ground subtends an angle of 60° a point pon the ground. then the distance at the point p from the centre of the ball is
1. 6cm
2. 2cm
3. 8cm
4.none
Answer = 6 cm
Given :- A spherical ball of radius 4 cm placed on the ground subtends an angle of 60° a point pon the ground. then the distance at the point p from the centre of the ball is
1. 6cm
2. 2cm
3. 8cm
4. None .
Solution :-
from image we have , in right ∆OAP ,
→ OA = 4 cm = radius .
→ ∠APO = 60°
→ ∠AOP = 30°
So,
→ cos 30° = OA / OP
→ √3/2 = 4 / OP
→ OP = (8/√3)
→ OP = (8/√3) * (√3/√3)
→ OP = (8√3/3) (Ans.) (4)
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