Explanation: First of all we need to know if our triangle is a right triangle (has one 90° inner angle) to be able to use the law of sines to calculate the distance between Amanda and the helicopter.
Step 1: Once we know that the sum of all inner angles of a triangle is equal to 180° we can calculate the unknown angle as follows
As we can see above the missing inner angle is 90° which means it is a right triangle.
Step 2: Now we can use the law of sines as follows
once sin (90°) = 1 and sin (30°) = 0.5, let's calculate "x" below
[tex]\begin{gathered} \frac{x}{sin(30)}=\frac{4000}{sin90} \\ x=\frac{4000*0.5}{1} \\ x=2000ft \end{gathered}[/tex]
Final answer: As we can see above, the final answer is 2000 ft
