Mathematics (Syllabus D) 4024: Trigonometry Topical Past Paper Questions

ABCD is a field. A straight path crosses the field from $B$ to $D$. (a) Calculate AB. $$ \begin{array}{l}AB=\\ AB\end{array} $$ (b) Show that angle $BDC = 61.5^{\circ}$, correct to 1 decimal place. [3] (c) A second path crosses the field from C to meet path BD at point X. CX is t…

The diagram shows the positions of three ports A, B and C. The bearing of port B from port A is $ 107^{\circ} $. The bearing of port C from port A is $ 192^{\circ} $. AB = 176 km and AC = 132 km. (a) Find the bearing of A from B. [1] (b) Calculate BC. $$ \begin{array}{l} B C=2\\…

(a) ABCD is a rectangular field. C is due south of A. AB = 450m and BC = 210m. (i) Martha walks at an average speed of $ 5.2 \, km/h $. Calculate the time Martha takes to walk once around the perimeter of the field. Give your answer correct to the nearest minute. minutes [3] (ii)…