3.2 Trigonometry in trianglesIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 3.2 Trigonometry in triangles

1. A wheelchair ramp is a straight slope of length 6 m that rises 0.9 m to a platform. The ground is horizontal.
   A second ramp rises the same 0.9 m but is inclined at exactly $3^\circ$ to the horizontal. Find its length.2 marks
2. Two observers $P$ and $Q$ stand 120 m apart on level ground. A drone $D$ hovers in the vertical plane through $P$ and $Q$, with $D\hat{P}Q=62^\circ$ and $D\hat{Q}P=48^\circ$.
   Find the distance $QD$.2 marks
3. Two hikers leave a hut $H$ along straight paths that meet at an angle of $115^\circ$. After some time, hiker $A$ is 3.5 km from $H$ and hiker $B$ is 5 km from $H$.
   Find the distance between the two hikers.3 marks