Chapter 8.5, Problem 37SPR

To determine

Tocalculate:

The ratio as a fraction and as a decimal.

Answer to Problem 37SPR

  $\sin A=0.80or\frac{4}{5}$

Explanation of Solution

Given information:

  

  $\sin A$

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:

  $\begin{array}{l}\sin A=\frac{Opposite}{Hypotenuse}\\ \sin A=\frac{20}{25}\\ \sin A=\frac{4}{5}\\ \sin A=0.80or\frac{4}{5}\end{array}$

Hence, $\sin A=0.80or\frac{4}{5}$ .