IMO- Mathematics Olympiad (SOF) Class 10: Questions 898 - 898 of 958

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Question number: 898

» Coordinate Geometry

MCQ▾

Question

The given diagram represents some beams which supports part of a roof. If , then the length of the bean AD is________.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DTriangle poly2 Triangle poly2: Polygon A, E, DAngle β Angle β: Angle between A, D, A’Angle β Angle β: Angle between A, D, A’Angle α Angle α: Angle between E’, A, EAngle α Angle α: Angle between E’, A, EAngle γ Angle γ: Angle between B, A, CAngle γ Angle γ: Angle between B, A, CAngle γ Angle γ: Angle between B, A, CAngle δ Angle δ: Angle between A, C, DAngle δ Angle δ: Angle between A, C, DAngle δ Angle δ: Angle between A, C, DSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment d_1 Segment d_1: Segment [A, E] of Triangle poly2Segment a_1 Segment a_1: Segment [E, D] of Triangle poly2Segment e Segment e: Segment [D, A] of Triangle poly2Segment f Segment f: Segment [A, C] Point A A = (5.8, -0.04) Point A A = (5.8, -0.04) Point A A = (5.8, -0.04) Point B B = (5.24, -3.56) Point B B = (5.24, -3.56) Point B B = (5.24, -3.56) Point C C = (9.38, -3.56) Point C C = (9.38, -3.56) Point C C = (9.38, -3.56) Point D D = (9.34, -0.02) Point D D = (9.34, -0.02) Point D D = (9.34, -0.02) Point E E = (9.32,3.4) Point E E = (9.32,3.4) Point E E = (9.32,3.4) Point A’ Point A’: A rotated by angle 90°Point A’ Point A’: A rotated by angle 90°8 text1 = “8”

the Figure Made by Two Geometry Shapes

The figure made by two geometry shapes, AC = 8, ∠ BAC = 60 degree, angle ACD = 30 degree, angle ADC = 90 degree and angle CAF = 90 degree

Choices

Choice (4) Response

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