Answer: a = 5.0 and b = 5.0
Step-by-step explanation:
Acute angle 30 degree 25' 30'' should be converted to degree as follows
30+25/60+30/3600.
30+0.4166+0.00833
30.425 degrees.
The acute angle A is facing a which means a is an opposite to it.
Using trig.
Sin@ = opposite/ hypotenuse
Sin 30.425 = a/10
a = 30.425 × 10
a = 5.0
For b.
Cos@ = adjacent/ hypotenuse
Sin@ = b/10
b = sin 30.425× 10
b = 5.0