A sphere with centre O sits atop a pole as shown in the figure. An observer on the ground is at a distance 50m from the foot of the pole. She notes that the angles of elevation from the observer to points P and Q on the sphere are 30º and 60º, respectively. Then, the radius of the sphere in meters is

Question

A sphere with centre O sits atop a pole as shown in the figure. An   observer on the ground is at a distance 50m from the foot of the pole. She notes that the angles of  elevation from the observer to points P and Q on the sphere are 30º and 60º, respectively. Then, the radius of the  sphere in meters is

Examsnet · Accepted Answer

Correct Answer is : 50(1−1√3)

KVPY SX SB Exam 2016 Question Paper