A communication cable is stretched from the top of a vertical pole to a point on the…

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A communication cable is stretched from the top of a vertical pole to a point on the ground 40 m from the pole’s foot. The cable makes an angle of 60∘60^\circ with the level ground. (i) Show that the length of the cable is 40cos⁡60∘\dfrac{40}{\cos 60^\circ} metres. (ii) Determine the height of the pole. (iii) If the cable costs Rs 150 per metre, calculate the total cost of the cable, correct to the nearest rupee.

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