Whakaoti i te tan15=x/40-y

$$\tan 15 = \frac { x } { 40 - y }$$

Whakaoti mō x

$$x=-\frac{2679491924311227y}{10000000000000000}+10.717967697244908$$

$$y\neq 40$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$0.2679491924311227 = \frac{x}{40 - y}$$

Whakareatia ngā taha e rua o te whārite ki te -y+40.

$$0.2679491924311227\left(-y+40\right)=x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.2679491924311227 ki te -y+40.

$$-0.2679491924311227y+10.717967697244908=x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x=-0.2679491924311227y+10.717967697244908$$

Whakaoti mō y

$$y=-\frac{10000000000000000x}{2679491924311227}+40$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$0.2679491924311227 = \frac{x}{40 - y}$$

Tē taea kia ōrite te tāupe y ki 40 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -y+40.

$$0.2679491924311227\left(-y+40\right)=x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.2679491924311227 ki te -y+40.

$$-0.2679491924311227y+10.717967697244908=x$$

Tangohia te 10.717967697244908 mai i ngā taha e rua.

$$-0.2679491924311227y=x-10.717967697244908$$

Whakawehea ngā taha e rua o te whārite ki te -0.2679491924311227, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{-0.2679491924311227y}{-0.2679491924311227}=\frac{x-10.717967697244908}{-0.2679491924311227}$$

Mā te whakawehe ki te -0.2679491924311227 ka wetekia te whakareanga ki te -0.2679491924311227.

$$y=\frac{x-10.717967697244908}{-0.2679491924311227}$$

Whakawehe x-10.717967697244908 ki te -0.2679491924311227 mā te whakarea x-10.717967697244908 ki te tau huripoki o -0.2679491924311227.

$$y=-\frac{10000000000000000x}{2679491924311227}+40$$

Tē taea kia ōrite te tāupe y ki 40.

$$y=-\frac{10000000000000000x}{2679491924311227}+40\text{, }y\neq 40$$