Answer:
the angle of inclination of the hill is 46.56°
Step-by-step explanation:
Given the data in the question;
Just as illustrated in the diagram below
so to find the angle of inclination of the hill;
sinA/30 = sinB/125
since angle BAC is 8°
we substitute
sin8°/30 = sinB/125
sinB = ( sin8°/30 ) × 125
B = sin⁻¹ ( ( sin8°/30 ) × 125 )
B = sin⁻¹ ( 0.004639 × 125 )
B = 35.44°
so since the some of a the angles of a triangle is 180;
A + B + C = 180
8° + 35.44° + C = 180
C = 180 - ( 8° + 35.44° )
C = 136.56°
Hence, Angle of inclination x will be;
x = 136.56° - 90°
x = 46.56°
Therefore, the angle of inclination of the hill is 46.56°
