Problems 1 through 14 refer to right triangle $A B C$ with $C=90^{\circ}$. Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Also, write your answers for angles in decimal degrees. 9. If $a=16 \mathrm{~cm}$ and $b=26 \mathrm{~cm}$, find $A$.

Step 1 ：Given a right triangle \(\triangle ABC\) with \(\angle C = 90^\circ\), \(a = 16 \text{ cm}\), and \(b = 26 \text{ cm}\).

Step 2 ：Since it's a right triangle, we can use the tangent function to find \(\angle A\). The tangent function is defined as \(\tan(\text{angle}) = \frac{\text{opposite side}}{\text{adjacent side}}\). In this case, \(\tan(A) = \frac{a}{b}\).

Step 3 ：Calculate the value of \(\tan(A)\): \(\tan(A) = \frac{16}{26} \approx 0.61538\).

Step 4 ：Use the inverse tangent function (arctan) to find \(\angle A\): \(\angle A = \arctan(0.61538) \approx 31.71^\circ\).

Step 5 ：\(\boxed{\angle A \approx 31.71^\circ}\)