Answer:
The answer to your question is:
AC length = 1.7 cm
∠A = 30.7°
∠ B = 59.3 °
Explanation:
To find the length of AC, we use the pythagorean theorem:
c² = a² + b² but we need to find a Ac which is a leg so we clear a from the equation
a² = c² - b²
a² = 3.28² - 2.8²
a² = 10.8 - 7.8
a² = 3
a = 1.7 cm
To find ∠A we use the sine function
sine Ф = AC / AB = 1.7/3.28 = 0.51
Then ∠A = sine-1 = 30.7°
To find ∠B = 180 - 90- 30.7 = 59.3°