Question 154078
Project the situation as a triangle:
The distance of the car to the crossing as an {{{opposite}}} side = {{{o=30 m}}}.
The distance of the train to the car at a certain angle is the {{{hypotrenuse}}} = {{{h=50m}}}.
So the unknown is the distance of the train to the crossing which is the {{{adjacent}}} side= {{{a}}}=?
by Pyth.Theorem:
{{{h^2=a^2+o^2}}}
{{{a^2=h^2-o^2}}}
{{{a=sqrt(h^2-o^2)}}}
{{{a=sqrt(50^2-30^2)=sqrt(2500-900)=sqrt(1600)}}}
{{{a=40m}}} ----------------------------> distance of the train to the crossing
</pre><font size=4><b>Thank you,
Jojo</pre>