Question

Find the missing angle (a)

Answer 1

Answer:

a= $\frac{7\sqrt{2} }{4}$cm

solve with law of sines:

just to be clear, it looks like a is a side length here, not an angle

law of sines says that a (side length)/ (sine of angle opposite to side) is equal to another (side length)/ (sine of its opposite angle)

in this triangle you see you have one known ratio that is the 3.5 cm opposite to the right angle which is 90 degrees

3.5/ sin 90

note: sin 90 =1

then with the unknown side a

a/ sin 45

note: sin 45 = $\frac{1}{\sqrt{2}}$

and these ratios are equal according to law of sine

3.5/ sin 90= a/ sin 45

3.5/ 1 = a/ $\frac{1}{\sqrt{2}}$

3.5= $a\sqrt{2}$

a= 3.5/ $\sqrt{2}$

rationalize

=$\frac{7\sqrt{2}}{4}$cm

hope this helps!! gl

Answer 2

Answer:

Wait +++++++)(++++++

I will edit my answer when done solving