a Giving reasons show that triangle ABE is similar to triangle CDE 2 marks b

# A giving reasons show that triangle abe is similar to

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(a) Giving reasons, show that triangle ABE is similar to triangle CDE. (2 marks) (b) Given that AB = 3DC, find the ratio of DB to EB (2 marks) 7

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16. From the top of a tower, the angle of depression of a boat is 30 0 . If the tower is 40m high, how far is the boat from the foot of the tower? (3 marks) SECTION TWO : (50 MARKS) 17. The figure below shows a solid cone of base radius 28cm and slant side 35cm. At a point P 14cm vertically below the vertex, the cone is cut a cross to form a smaller cone. Calculate the radius of the smaller cone. (4 marks) 8
(b) Calculate the surface area of the frustum when the smaller cone is removed. (6 marks) 18. The model of an aircraft is designed such that the volume of its interior airspace is 125cm 3 . The volume of the airspace of the actual aircraft is 3375 litres. a. Given that the wing spand of the actual aircraft is 7.44 metres, find the wingspan of the model in centimeters. (4 marks) 9

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b. If the total surface area of the model is 2420cm 2 , find the total surface area of the actual aircraft in square metres. (3 marks) c. Calculate the cost of the materials used to build the actual aircraft if the material costs US\$ 2.5 per square centimeter. (3 marks) 10
19. (a) The figure shows a triangle ABC which is right angled at C. CB = 8 cm and AC = 6cm.

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• Fall '18
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