Answer
$$A=31.1°$$
$$B=58.9°$$
Work Step by Step
Find angle A.
We can use the trigonometric function for cosine to find angle A.
$cos A=\frac{b}{c}$
$cos A=\frac{1185ft}{1384ft}$
$cos A=0.8562$
Now we solve for A by multiplying both sides of the equation by the inverse cosine.
So,
$cos^{-1}(cos A) = cos^{-1}(0.8562)$
$A = cos^{-1}(0.8562)$
$A=31.1°$
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
$B=90°-A$
$B=90°-31.1°$
$B=58.9°$
