Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
The pole $PQ$ is vertical. A rope goes from the top of the pole, $P$, to a point on the ground, $R$. Two more ropes are attached too.
(a)[2]
Show that $PQ = 16.70\text{ m}$, to 2 decimal places.
(b)[5]
A second rope runs from $P$ to point $S$. $\angle PQS = 90^\circ$, and $RS = 30\text{ m}$. From $S$, the angle of elevation to $P$ is $36^\circ$. Calculate $\angle RQS$.
(c)[4]
A third rope goes from $P$ to point $T$. $\angle TPQ = 40^\circ$ and $\angle PQT = 97^\circ$. Calculate $PT$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “the calculation $20^2-11^2$” …