Answer
$$A=41.1°$$
$$B=48.9°$$
Work Step by Step
Find angle A.
We can use the trigonometric function for cosine to find angle A.
$cos A=\frac{b}{c}$
$cos A=\frac{4.372m}{5.806m}$
$cos A=0.7530$
Now we solve for A by multiplying both sides of the equation by the inverse cosine.
So,
$cos^{-1}(cos A) = cos^{-1}(0.7530)$
$A = cos^{-1}(0.7530)$
$A=41.1°$
Find angle B.
We know that in right triangles the sum of the acute angles is 90°.
So, $A+B=90°$
Solving for $B$, we get
$B=90°-A$
$B=90°-41.1°$
$B=48.9°$
