Question

What is the measure of angle A? And what is the length of AB?

Answer 1

∠A=53, and AB=13.7734922397

Explanation:

Angles in a triangle add up to 180.

∠A+∠B+∠C=180

∠A+37+90=180

∠A=53

Use sine rule:

x/sinX=y/sinY

AB/sin∠C = CB/sin∠A

AB/sin90 = 11/sin53

AB/1=11/0.79863551004

AB=13.7734922397