Question

In the figure, $AB=AC$ and $\angle A={80}^o$. What is $x$?

• A. $8$
• B. $10.3$
• C. $11.4$
• D. $12$
• E. $12.7$

Answer 1

The correct option is B $10.3$

Consider $△ABC$

From $△ABE$

$\sin 40=\frac{x}{8}$

$x=5.14m$ (1)

Similarly,

From $△ACE$

$\sin 40=\frac{x}{8}$

$x=5.14m$ (2)

Adding (1) and (2)

$x=10.3m$