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 $a = 16 cm$ and $b = 26 cm$ , find $A$ .

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$∠ A \approx {31.71}^{\circ}$

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Step 1 ：Given a right triangle $△ A B C$ with $∠ C = 90^{\circ}$ , $a = 16 cm$ , and $b = 26 cm$ .

Step 2 ：Since it's a right triangle, we can use the tangent function to find $∠ A$ . The tangent function is defined as $\tan (angle) = \frac{opposite side}{adjacent side}$ . 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 $∠ A$ : $∠ A = \arctan (0.61538) \approx {31.71}^{\circ}$ .

Step 5 ： $∠ A \approx {31.71}^{\circ}$

Problems 1 through 14 refer to right triangle ABC with C=90∘. 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 cm and b=26 cm, find A.

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