Solve each problem. See Examples 3 and 4.

The figure to the righ...

Question

Solve each problem. See Examples 3 and 4.

The figure to the right indicates that the equation of a line passing through the point (a, 0) and making an angle θ with the x-axis is y = (tan θ) (x - a).

Find an eq​​uation of the line passing through the point (5, 0) that makes an angle of 15° with the x-axis.

Accepted Answer

Hello, everyone. We are told a line L makes an angle of 75 degrees with the X axis and passes through the 0.12 0. We want to write the equation for the line L. Our answer choices are A Y equals the parentheses, tangent of 75 degrees multiplied by the parentheses X plus by equals the parentheses, sign of 75 degrees multiplied by the parentheses, X minus 12 cy equals the parentheses cosine 75 degrees multiplied by the parentheses X minus 12 dy equals in parentheses tangent of 75 degrees multiplied by the parentheses X minus 12. So recall that we are given a formula, the formula is set up as Y equals in parentheses, the tangent of theta multiplied by the parentheses X minus B when theta is an angle made with the X axis and that passes through a point B zero. So here theta would be 75 degrees because we are told that line L makes an angle of 75 degrees with the X axis. And we're told it passes through the 0.12 0. So we're in treat 12 as our B. So now using the formula we get Y equals the tangent of 75 degrees multiplied by the parentheses X minus 12. That is our answer and it is answer choice. D have a nice day.

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