Answer:
Approximate value of sinC is [tex]\sin C=0.40[/tex]
Hence, Option (4) is correct.
Step-by-step explanation:
In the given Δ CAB with right angle at A.
Trigonometric ratio SINE is defined as ratio of the side opposite to the given angle (that is perpendicular) to the hypotenuse of the triangle.
[tex]\sin C=\frac{\text{perpendicular}}{\text{base}}[/tex]
In the given figure,
For angle C , AB is the perpendicular and BC is hypotenuse.
[tex]\sin C=\frac{AB}{BC}[/tex]
Given: AB= 7 and BC= 17.46
[tex]\sin C=\frac{7}{17.46}[/tex]
[tex]\sin C=0.40091\text{(approx)}[/tex]
Thus, Approximate value of sinC is [tex]\sin C=0.40[/tex]
Hence, Option (4) is correct.
