Trigonometric Ratios (Edexcel IGCSE Further Pure Maths): Exam Questions

Figure 5 shows a right triangular prism where is a rectangle.

cm

The angle between the plane and the plane is

Find, in cm to 2 significant figures, the length of

Find, in degrees to one decimal place, the size of the angle between the line and the plane

Figure 1 shows a right prism
Triangle is a cross section of the prism.

Find, in degrees to one decimal place, the size of the angle between the line and the plane

Figure 4 shows a right pyramid with vertex and base which is a regular pentagon.

Find, in degrees to one decimal place, the size of the angle between the plane and the base

Figure 3 shows a right pyramid with a horizontal square base.

is the point of intersection of the diagonals of the base.
The vertex of the pyramid is vertically above

Show that

Find, in degrees, the size of the angle

Find, in degrees to one decimal place, the size of the angle between the plane and the plane

The volume of the pyramid is 200 cm³

Given that the

Find to 3 signficant figures, the value of

The point has coordinates (–5, 3), the point has coordinates (4, 0) and the point has coordinates (–1, 5).

The line passes through and is perpendicular to .

Find the value of .
Give your answer in its simplest form.

Figure 2 shows a right pyramid with a square base and vertex .

The base of the pyramid is horizontal with .
The diagonals of the base intersect at the point .

The vertex of the pyramid is vertically above and the angle between and the plane is 30°

The height of the pyramid is cm.

Find the exact value of

The point lies on such that

Calculate, to the nearest degree, the size of the angle .