Ex – 9.1 Que No. 5 Q.5) A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is […]
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Ex – 9.1 Que No. 4 Q.4) The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower. Solution:-
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Ex – 9.1 Que No. 3 Q.3) A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to
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Ex – 9.1 Que No. 2 Q.2) A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find
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Ex – 9.1 Que No. 1 Q.1) A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30° (see Fig. 9.11).
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Ex – 10.2 Que No. 13 Q.13). Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. Solution:-
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Ex – 10.2 Que No. 12 Q.12). A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig. 10.14). Find the sides AB and
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Ex – 10.2 Que No. 11 Q.11). Prove that the parallelogram circumscribing a circle is a rhombus. Solution:-
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Ex – 10.2 Que No. 10 Q.10). Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre. Solution:-
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Ex – 10.2 Que No. 9 Q.9). In Fig. 10.13, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB = 90°. Solution:-
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