Answer
$$A=82.9°$$
$$B=7.1°$$
Work Step by Step
Find angle A.
We can use the trigonometric function for tangent to find angle A.
$tan A=\frac{a}{b}$
$tan A=\frac{847m}{105m}$
$tan A=8.0667$
Now we solve for A by multiplying both sides of the equation by the inverse tangent.
So,
$tan^{-1}(tan A) = tan^{-1}(8.0667)$
$A = tan^{-1}(8.0667)$
$A=82.9°$
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
$B=90°-A$
$B=90°-82.9°$
$B=7.1°$
