IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 898 - 898 of 968

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Question number: 898

» Coordinate Geometry

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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, D Triangle poly2 Triangle poly2: Polygon A, E, D Angle 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, E Angle α Angle α: Angle between E’, A, E Angle γ Angle γ: Angle between B, A, C Angle γ Angle γ: Angle between B, A, C Angle γ Angle γ: Angle between B, A, C Angle δ Angle δ: Angle between A, C, D Angle δ Angle δ: Angle between A, C, D Angle δ Angle δ: Angle between A, C, D Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment d_1 Segment d_1: Segment [A, E] of Triangle poly2 Segment a_1 Segment a_1: Segment [E, D] of Triangle poly2 Segment e Segment e: Segment [D, A] of Triangle poly2 Segment 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

a.

b.

c.

d.