Answer
$$A=64°$$
$$B=26°$$
Work Step by Step
Find angle A.
We can use the trigonometric function for tangent to find angle A.
$tan A=\frac{a}{b}$
$tan A=\frac{2902km}{1412km}$
$tan A=2.0552$
Now we solve for A by multiplying both sides of the equation by the inverse tangent.
So,
$tan^{-1}(tan A) = tan^{-1}(2.0552)$
$A = tan^{-1}(2.0552)$
$A=64°$
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
$B=90°-A$
$B=90°-64°$
$B=26°$
