Question

Refer to figure attached

A) Find the value of x.

B) Evaluate sin(45 degrees) + cos (30 degrees) - tan (60 degrees). Express final answer in simplest radical form. (You don’t have to refer to the diagram for this but can)

Answer 1

Answer:

a

$\frac{18}{ \sqrt[]{2} }$

Step-by-step explanation:

a.

${60}^{o} = \sqrt{3} a = 9 \sqrt{3}$

$\sqrt{3} a = 9 \sqrt{3} \\ a = \frac{9 \sqrt{3} }{ \sqrt{3} } = 9 \\ 2a = 9 \times 2 = 18 \\ \sqrt{2} a = 18 \\ a = \frac{18}{ \sqrt{2} } \\ 1a = \frac{18}{ \sqrt{2} }$