# Question #c997d

Mar 23, 2017

By the description of the question, one obtains that the signal can travel at most $25 k m$.

Now that the Helicopter is $20 k m$ east and $17 k m$ south, one has to use a little geometry to find the distance of the helicopter from Zach.

#### Explanation:

By using the law of cosines, the distance between Zach and the helicopter is, (here the cosine term is 0 since east and south are perpendicular directions)

$d = {\left({20}^{2} + {17}^{2}\right)}^{\frac{1}{2}}$

Thus, $d = 26.25 k m$

Now you know can decide yourself if the signal reaches the helicopter!