Question

The following figure shows AABC with side lengths to the nearest tenth.B1528C8АFind mZA.Note that mZA is acute. Round to the nearest degree.

Answer 1

Given the triangle, we can find the required angle using the sine rule of triangles. This can be seen below.

Step-by-step explanation

The sine rule is given as

`\frac{Sin\text{ A}}{a}=\frac{\text{SinB}}{b}`

We can then substitute the given parameters inside the formula.

`\begin{gathered} \frac{\text{SinA}}{15}=(Sin28)/(8) \\ \text{SinA}=(15* Sin28)/(8) \\ \text{SinA}=0.8803 \\ A=Sin^(-1)(0.8803) \\ A\approx62^0 \end{gathered}`

Answer:

`A\approx62^0`