3.3 Applications of trigonometryIB Maths: Applications and Interpretation SL: Mind map

Exam questions on 3.3 Applications of trigonometry

1. A vertical tower stands on level ground. A surveyor at point $A$, 40 m from the base of the tower, measures the angle of elevation of the top of the tower as $35^\circ$. Use your GDC where needed.
   A flagpole of height 5 m stands on top of the tower. Find the angle of elevation of the top of the flagpole from $A$.2 marks
2. A ship leaves port $P$ and sails 15 km on a bearing of $070^\circ$ to a point $Q$.
   Find the bearing of $P$ from $Q$.2 marks
3. Two lifeguard towers $A$ and $B$ stand on a straight, level beach, 200 m apart. A swimmer is at a point $S$ in the sea. From $A$, $S\hat{A}B=52^\circ$ and from $B$, $S\hat{B}A=71^\circ$. Use your GDC where needed.
   Find the size of $A\hat{S}B$ and hence find the distance $AS$.3 marks