Base and legs

A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse?

Correct answer:

b =  2.7704 cm

Step-by-step explanation:

$$\begin{gathered} a=12\text{cm} \\ \beta =13{}^{\circ } \\ \tan \beta =b:a \\ b=a\cdot \tan \beta =a\cdot \tan 13°=12\cdot \tan 13°=12\cdot 0.230868=2.77=2.7704\text{cm} \end{gathered}$$

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