Answer:
1. 27.0 m
2. 28.0 degrees
Explanation:
1. AB
To find AB, we start by getting the measure of the third angle A
Mathematically;
A + 90 + 51 = 180
The sum of angles in a triangle is 180
A = 180-90-51
A = 39
We then proceed to use the sine rule
Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle
Thus, with respect to the given triangle;
17/sin 39 = x/sin 90
x = 17sin90/sin 39
x = 27.0 m
Kindly note that we substituted x for AB
2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side
Thus;
34/sin 127 = 20/sin A
Sin A = (20 sin 127)/34
sin A = 0.469
A = sin^-1 0.469
A = 28.0 degrees