The Laws of Sines and Cosines · Paper 2 — Free Maths AA HL Practice Questions

A surveyor determines the height of a vertical cliff face $TC$, where $C$ is the base of the cliff at ground level. From point $A$ on level ground, the angle of elevation to the top of the cliff $T$ is $27.5^\circ$. The surveyor walks $120\,\text{m}$ directly towards the cliff to point $B$. From $B$, the angle of elevation to $T$ is $41.2^\circ$.