Answer:
56.714°
Step-by-step explanation:
Since we do not have a full angle of this proposed triangle, we must do this by splitting it into two right triangles instead of using the law of sines.
250m*sin(40°) = 250m*0.64278760968 = 160.696902422m
452.4m-160.696902422m=291.703097578m
Use pythagorean theorem:
[tex]\sqrt{250^2 - 160.696902422^2}[/tex]
62500-25823.494448025787=36676.505552
[tex]\sqrt{36676.505551974216}[/tex] = 191.511110779m
arctan(291.703097578m/191.511110779m)≈56.714°
