Horizontally 6296

The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture?

Correct answer:

d =  17.3205 m

Step-by-step explanation:

$$\begin{gathered} h=30\text{m} \\ A=120{}^{\circ } \\ B=A/2=120/2=60{}^{\circ } \\ \tan B=h:d \\ d=h/\tan B=h/\tan 60°=30/\tan 60°=30/1.732051=17.321=17.3205\text{m} \end{gathered}$$

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