Question

Please help will give thanks

Answer 1

The value of CD = 12.687

Step-by-step explanation:

From the triangle ABC,

$AC^{2}= AB^{2}+ BC^{2}$ ( by using Pythagoras theorem)

or, $BC^{2}= AC^{2} - AB^{2}$

or, $BC^{2}$ = 144 - 36 = 108

BC = $\sqrt{108}$ = 6$\sqrt{3}$

Now,

$\frac{BC}{CD}$ = sin 55

or, CD = BC / sin 55

= 6$\sqrt{3}$ / sin 55

=12.687