Can anyone help solve the following quickly please ?:
- A surveyor standing on a horizontal plain can see a volcano i the distance.
- The angle of elevation of the top of the volcano i $23$ degrees.
- If the surveyor moves $750$ m closer, the angle of elevation is now $37$ degrees.
Determine the height of the volcano using trigonometry.
HINT
By simple trigonometric rules, you need to solve the system for h=height and d=distance
$$\begin{cases}\frac{h}{d}=\tan 23°\\\\\frac{h}{d-750}=\tan 37°\end{cases}$$