Question

A surveyor makes a measurement shown in the diagram to find the distance between two observation towers on the opposite sides of the river how far apart are the towers?give an answer to the nearest meter

Answer 1

To determine the distance between two observation towers:

The distance between the tower 1 and tower 2 = Hypotenuse

$\cos \theta=\frac{adj}{hyp}$$\begin{gathered} \cos \theta=\frac{adj}{hyp} \\ \cos 73^0\text{=}\frac{\text{63}}{hyp} \\ \text{Hyp}=\frac{63}{\cos 73^0} \\ \text{Hyp}=\frac{63}{0.2924} \\ \text{Hyp = 215.48m} \end{gathered}$

Hence the distance between the tower 1 and tower 2 = 216m (nearest meter)