CIE Mathematics Paper-1: Specimen Questions 98 - 99 of 175
Question number: 98
Describe in Detail
In the diagram YZ is the radius of a cylinder base, XY is height. In triangle XYZ angle YXZ is .
(a) Find the angle YXZ.
(b) Calculate the length of diagonal XZ.
(c) Calculate the area of the cylinder.
Here, YZ is the radius of a cylinder base, XY is height.
XY = 14 cm and YZ = 6 cm is given,
So, using cosine formula,
(b) Length of diagonal XZ:
So, formula for sides: , where XY = 14 cm and YZ = 6 cm is given,
(C) Area of cylinder = , where, height h = 14 cm and radius r = 6 cm.
So, area of cylinder =
Question number: 99
Write in Short
As shown in below figure, a parachute X is 500 meters vertically above a point Y on the ground. A boy stands at a point Z, which is 800 meters horizontally from Y.
(a) Calculate the distance, XZ, of the boy from the parachute.
(b) Calculate angle XZY.
(a) Triangle XYZ is a right angled triangle, so by using formula of sides: , where a = 500 m and b = 800 m, c = XZ.
(b) For angle XZY: