Question

EXAMPLE: Find the measure of x and y31B ВxºCMeasure of X:23Measure of y:ولAEdmone on the

Answer 1

It is a right triangle because has a right angle(90°)

then we can apply trigonometric ratios

for example if I use tangent

`\tan (\alpha)=(O)/(A)`

where alpha is the reference angle, O the opposite side from the angle and A the adjacet side of the angle different to the hypotenuse

if I use y as reference angle, we replace

`\tan (y)=(31)/(23)`

then I solve for y

`\begin{gathered} y=\tan ^(-1)((31)/(23)) \\ \\ y=53.43 \end{gathered}`

value of y is 53.43°

if I use x as reference angle, we replace

`\begin{gathered} \tan (x)=(23)/(31) \\ \\ x=\tan ^(-1)((23)/(31)) \\ \\ x=36.57 \end{gathered}`

Value of x is 36.57°