Question

What is the approximate value of sin C?

Answer 1

$\sin C=\dfrac{|AB|}{|BC|}\\\\|AB|=7;\ |BC|=17.46\\\\subtitute\\\\\sin C=\dfrac{7}{17.46}\approx0.4009163\approx0.40$

Answer 2

Answer:

Approximate value of sinC is $\sin C=0.40$

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.

$\sin C=\frac{\text{perpendicular}}{\text{base}}$

In the given figure,

For angle C , AB is the perpendicular and BC is hypotenuse.

$\sin C=\frac{AB}{BC}$

Given: AB= 7 and BC= 17.46

$\sin C=\frac{7}{17.46}$

$\sin C=0.40091\text{(approx)}$

Thus, Approximate value of sinC is $\sin C=0.40$

Hence, Option (4) is correct.