KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 156 - 156 of 172

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Question number: 156

» Trigonometry » Heights and Distances

Appeared in Year: 2016

MCQ▾

Question

A sphere with centre Equation sits atop of a pole as shown in figure. An observer on the ground is at a distance Equation from the foot of the pole. She notes that the angles of elevation from the observer to points Equation and Equation on the sphere are Equation and Equation , respectively. Then, the radius of the sphere in meters is –

Circle d Circle d: Circle through E with center DEllipse e Ellipse e: Ellipse with foci G, H passing through IAngle α Angle α: Angle between H, C, BAngle β Angle β: Angle between A, C, BSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment f Segment f: Segment [F, A] Segment g Segment g: Segment [G, H] Segment h Segment h: Segment [H, C] Vector u Vector u: Vector [J, K] Vector u Vector u: Vector [J, K] Vector v Vector v: Vector [J, L] Vector v Vector v: Vector [J, L] Point A A = (-2.16, 3.94) Point A A = (-2.16, 3.94) Point C C = (4.4, 0.1) Point C C = (4.4, 0.1) 50 m text1 = “50 m”50 m text1 = “50 m”50 m text1 = “50 m”60/degree text1_1 = “60/degree”60/degree text1_1 = “60/degree”60/degree text1_1 = “60/degree”30/degree text1_2 = “30/degree”30/degree text1_2 = “30/degree”30/degree text1_2 = “30/degree”P text1_3 = “P”O text1_4 = “O”Q text1_5 = “Q”

a Sphere Sits Atop of a Pole

In figure a sphere with centre O sits atop of a pole is shown. An observer on the ground is a t a distance 50 m from the foot of the pole.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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