Question

Alex is searching for treasure. Her map tells her that she is 40 meters away from thetreasure. She walks 24 meters west. She then realized that the treasure is south fromwhere she is standing. How far south does she need to goto find it?What is the value of x?Type the answer as a number. For example, if x = 2 -- type "2"32 meters29.24 meters® 46.64 metersO 37 meters

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate the requested distance, so we obtain the following:

Then based on this we can see that we are talking about a right triangle, for which we can use the Pythagorean theorem to find the missing measure, then we have:

$\begin{gathered} 40^2=24^2+x^2 \\ x^2=40^2-24^2 \\ x^2=1600-576 \\ x^2=1024 \\ x=\sqrt{1024} \\ x=32 \end{gathered}$

Finally we obtain that she need to go 32 met