The correct option is .
Further explanation:
The sine ratio is the ratio of the length of the side that is opposite to the given angle to the length of the hypotenuse.
It can be expressed as,
Pythagoras theorem is always used in a right angle tri
angle to obtain the one of the side of the triangle.
Hypotenuse is the longest side in the right angle triangle.
Pythagoras theorem can be expressed as,
Here, is the hypotenuse, is the base and is the perpendicular.
Step by step explanation:
Step 1:
The terminal side of an angle passes through the point as shown in the attached figure.
It can be observed that the given point lies in the fourth quadrant as coordinate is positive and coordinate is negative.
As we can see in the attached figure the perpendicular is the side of the triangle that is opposite the angle .
Therefore, the perpendicular is 8 and the base is .
Now find the hypotenuse by the use of Pythagoras theorem.
Therefore, the length of the hypotenuse is .
We know that the sine function is negative in fourth quadrant.
Therefore, cab be expressed as,
Thus, option B is correct.
Learn more:
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Learn more about in a right triangle, angle c measures 40°. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle c? <u>brainly.com/question/4419078</u>
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Triangles
Keywords: side, lengths, distance, Pythagoras theorem, triangle, hypotenuse, base, perpendicular, right angle triangle, longest side, sine function, fourth quadrant, positive sign, negative sign, ratio.