SRT.6a I can use proportional sides of similar, right triangles to compute the [b]slope[/b][b]ratio[/b] of acute angles and I can use the tangent function to solve for the legs of right triangles.
The slope ratio of an acute angle is the relationship of a[b] [color=#0000ff]rise[/color][/b] to a [b][color=#6aa84f]run[/color][/b]. The ratio can be calculated many ways, but it will always be [b]the same ratio[/b] for a specific angle, no matter its orientation or size. The [color=#0000ff][b]rise[/b][/color] will always be [b]perpendicular[/b] to the[b][color=#6aa84f] run[/color][/b]. The [color=#0000ff][b]rise[/b][/color] is the perpendicular distance [b]opposite[/b] the specific angle. The [color=#6aa84f][b]run[/b][/color] is measured along either side of the angle.[br][br]The interactive diagram / tool below will help you visualize the slope ratio.
1. Set the measure of angle AOC to 11°, using the blue dot on the outside of the protractor.[br][br]2. Check the Slope Ratio from side HG and side HF. Try to count the number of squares in the rise and the run in [b]from each side[/b].[br][br]3. Enter the ratio: rise over the run from side HG, and the ratio: rise over run from side HF.