Answer:
[tex]d_t=1339m[/tex]
[tex]d_r=953.98[/tex]
[tex]x=37.975 \textdegree[/tex]
Explanation:
From the question we are told that
1st distance [tex]d_1=752 m[/tex]
2nd distance [tex]d_2=587 m[/tex]
Generally the total distance [tex]d_t[/tex]covered by the man is mathematically given as
[tex]d_t =1st\ distance +2nd\ distance[/tex]
[tex]d_t=752+587\\d_t=1339m[/tex]
Generally the resultant distance traveled is mathematically given as
[tex]d_r^2=d_1^2+d_2^2[/tex]
[tex]d_r=\sqrt{752^2+587^2}[/tex]
[tex]d_r=953.98[/tex]
Generally the angle using sine rule traveled is mathematically given as
let angle =x
[tex]\frac{sin90}{d_r} =\frac{sinx}{587}[/tex]
[tex]sinx=\frac{sin90*587}{953.98}[/tex]
[tex]x=37.975 \textdegree[/tex]
