Calculate 43331

From the lookout tower, 70 meters high, we see a man at a depth angle of 15 degrees. Calculate how far one stands from the base of the lookout tower. Draw and calculate.

Correct answer:

x =  261.2436 m

Step-by-step explanation:

$$\begin{gathered} h=70\text{m} \\ \alpha =15{}^{\circ } \\ \tan \alpha =h:x \\ x=h/\tan \alpha =h/\tan 15°=70/\tan 15°=70/0.267949=261.244=261.2436\text{m} \end{gathered}$$

Try another example