Answer: 215.53
Step-by-step explanation:
Take the inverse tangent of the plot point:
tan^-1 (-5/-7) = 35.5377
Add the answer to 180 (because a compass heading is found from going clockwise from the North Point) to get the final answer:
215.53 degrees
The value of the angle is 35.54 degrees, or the compass heading of an angle of 35.54 degrees.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It is given that:
An angle passes through the point (-7,-5).
Let the starting point is at (0, 0)
The slope of the line segment passes through (0, 0) and (-7, -5)
The slope is the ratio that y increase as x increases is the slope of a line.
The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
m = tanX = (-5-0)/(-7-0)
tanX = 5/7
X = tan⁻¹(5/7)
X = 35.537 degrees
X = 35.54 degrees (rounded to the nearest hundredth
Thus, the value of the angle is 35.54 degrees, or the compass heading of an angle of 35.54 degrees.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
