Question

you are skiing down a mountain with the altitude of 1200 M. The angle of depression is 21° . how far do you ski down a mountain?

Answer 1

By Trigonometrical Ratios,

`\begin{gathered} \sin 21^o=(1200)/(x) \\ Cross\text{ multiplying, we get} \\ x\sin 21=1200 \\ \text{Dividing both sides by }\sin 21\text{ , we get} \\ x=(1200)/(\sin 21)=(1200)/(0.35837) \\ x=3348.514\approx3348.5\text{ meters} \end{gathered}`

Thus, the correct answer is x = 3,348.5 meters ( last option)