A solid metal cone has radius $$\(1.65 \mathrm{~cm}\)$$ and slant height $$\(4.70 \mathrm{~cm}\)$$. Find the angle the slant height makes with the base of the cone. .............................................

E6.2.1 Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right- angled triangle. (Angles will be quoted in degrees. Answers should be written in degrees and decimals to one decimal place.)

E6.2.2 Solve trigonometric problems in two dimensions involving angles of elevation and depression.

E6.2.3 Know that the perpendicular distance from a point to a line is the shortest distance to the line.

E6.5 Solve simple trigonometrical problems in three dimensions including angle between a line and a plane.