The measured value of Theta is 53.1 degrees.
Given
The radius of the circle below intersects the unit circle at (3/5, 4/5).
<h3>What is tan theta?</h3>The measure of the tan angle is defined as the ratio of perpendicular by the base.
The measure of the tan theta is;
Where the value of x is 3/5 and y is 4/5.
Substitute all the values in the formula
Hence, the measured value of Theta is 53.1 degrees.
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Answer:
Step-by-step explanation:
Let
A(-5,5),B(-2,-4) ----> the given segment
step 1
Find the slope AB
The formula to calculate the slope between two points is equal to
substitute the given values
step 2
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
the slope of the perpendicular bisector is equal to
we have
substitute
step 3
Find the midpoint segment AB
A(-5,5),B(-2,-4)
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line in point slope form
we have
substitute
step 5
Convert to slope intercept form
isolate the variable y
simplify
see the attached figure to better understand the problem
