Chapter 8.5, Problem 35SPR

To determine

Tocalculate:

The ratio as a fraction and as a decimal.

Answer to Problem 35SPR

  $\tan C=0.75or\frac{3}{4}$

Explanation of Solution

Given information:

  

  $\tan C$

Calculation:

From the definition of Sine:

If is a right triangle $\Delta ABC$ with acute $\angle A$ , then the sine of $\angle A$ is the ratio of the length of theleg opposite $\angle A$ to the length of the hypotenuse.

Thus, the definition of Sine shows that:

  $\begin{array}{l}\tan C=\frac{Opposite}{Adjacent}\\ \tan C=\frac{15}{20}\\ \tan C=\frac{3}{4}\\ \tan C=0.75or\frac{3}{4}\end{array}$

Hence, $\tan C=0.75or\frac{3}{4}$ .