Question

If, BC = 10 and the angle a = 25 degrees, find any missing angles or sides. Give your answer to at least 3 decimal digits.

Answer 1

Given that BC = 10

`\propto\text{ = 25}`

AC is the hypotenuse

BC is the opposite angle of alpha

AB is the adjacent

To get Beta

`\begin{gathered} \beta\text{ = 180 - }\alpha\text{ - 90} \\ \beta\text{ = 180 - 25 - 90} \\ \beta\text{ = 65} \end{gathered}`

To get AC, we can use the trigonometric function

`\sin \text{ 25=}(10)/(AC)`

AC = 10/ sin 25

AC = 10/ 0.423

AC = 23.662

To get AB

`\tan \text{ 25 = }(10)/(AB)`

AB = 10 / tan 25

AB = 10 / 0.466

AB = 21. 445