niah2699
29.06.2019 •
Mathematics
Acircle has its center at (6,-3) and a radius of 5 units. what is the equation of the circle?
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Ответ:
Ответ:
Step-by-step explanation:
The x value for the center is part of the x^2 part of the equation.
The y value for the center is part of the y^2 part of the equation.
The radius is squared.
(x - 6)^2 + (y + 3)^2 = 5^2
Notice the sign change for the center. When you move horizontally the sign of the center changes sign in the circle's equation.
The graph is included to show you that.
Ответ:
The formula used will be:
tan 42° = y/115
Step-by-step explanation:
Lets simplify the the question.
We have a boat which is situated at 115 meters away from a light house. It forms the base of the right angled triangle.
We need to find the distance from the bottom of the light house to the top of the light house. This distance is the height of the lighthouse, which forms the perpendicular side of the right angled triangle.
The distance between boat and top of the lighthouse is unknown, it forms the hypotenuse.
The angle of elevation, which is the angle between base and hypotenuse, is given as 42°.
The right angled formed is shown below.
We know that
tanθ = Perpendicular / Base
tan42 = height / 115
If height= y
tan 42° = y/115
Solve for y.
y = 103.55 meters