Question

Calculate the value of $x$ if the value of $\theta ={67}^{\circ }$ in the right angled triangle shown in the above figure.

• A. $2.9$
• B. $7.6$
• C. $16.5$
• D. $17.9$
• E. $18.2$

Answer 1

The correct option is D $17.9$

Given, $\theta ={67}^o$

$\cos \theta =\frac{7}{x}$

$\therefore \theta =67$ degrees
$\therefore \cos \left(67\right)=\frac{7}{x}=0.39$
$\Rightarrow x=\frac{7}{\left(0.39\right)}=17.9$