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to get the slope of a line, we only need two points, notice, the grid is using 2 numbers per line, so the point on the bottom-left is (-6,0) and the one on the upper-right is (6,4), so let's use those points.
Given:
Right triangle XYZ has right angle Z.
To find:
The value of .
Solution:
We know that,
For a triangle, all trigonometric ratios are positive. So,
It is given that . After substituting this value in the above equation, we get
On further simplification, we get
Therefore, the required value is .