Question

In the right triangle, if $\theta ={39}^0$, calculate the value of $x$.

• A. $9.9$
• B. $10.3$
• C. $11.3$
• D. $12.7$
• E. $13.9$

Answer 1

The correct option is D $12.7$

As per given figure, $8$ is perpendicular and $x$ is the hypotenuses of right angle triangle when $\theta =39$ is the angle

Then $\sin {39}^0=\frac{8}{x}$

$\Rightarrow x=\frac{8}{\sin 39}$

$\Rightarrow x=\frac{8}{0.629}$ (Put the value sin 39=0.629)

$\Rightarrow x=12.7$