Answer:
46.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides and angles in a right triangle.
<h3>Sine</h3>
Here, the side lengths given are the hypotenuse (11) and the side opposite the angle (8). The mnemonic reminds you the relation involving those sides is ...
Sin = Opposite/Hypotenuse
Applying this to the given triangle, you have ...
sin(x) = 8/11
<h3>Angle</h3>
The angle is found using the inverse sine function. This may be called the sin⁻¹ function on your calculator. It is also referred to as the arcsine function.
x = arcsin(8/11) ≈ 46.658°
x ≈ 46.7°
__
<em>Additional comment</em>
The attachment shows a calculator making this computation. The angle mode is set to "Degrees", as indicated in the lower left corner.
The apporoximate length of the RP is 6.1 units, the correct option is B.
<h3>
What is Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.
Given
QR is the tangent to circle P at point Q.
QP = 3 units and QR = 5,.3 units
The length of the RP is given by;
Hence, the apporoximate length of the RP is 6.1 units.
To know more about Pythagoras theorem click the link given below.
brainly.com/question/11526258
In the second picture, top left is order 2, top right is order 4, bottom right is order 4, bottom left is order 2 I think but I'm not positive on that one. That's all I know for now, I'm currently in Calculus so my Geometry is a bit rusty.
The value of "a" can be anything you want it to be. Usually, it is chosen to make the function meet some additional constraint, such as going through a particular point. You have not provided any such constraint, so there is no rationale for choosing any particular value of "a".
Let a=2, if you like.