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Answer:
x = 6
y = 3
Step-by-step explanation:
Give triangle is a right triangle.
By applying sine ratio in the given triangle,
sin(60)° =
x = 6
Now we take the cosine ratio in the given triangle,
cos(60)° =
y =
y =
Therefore, x = 6 and y = 3 will be the answer.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is
ANswer: