Respuesta :
Hypotenuse = sqrt (7^2 + 2^2) = sqrt 53
sin O = opposite / hypotenuse = 2 / sqrt53 = 0.2747 (to nearest thousandth
(answer)
sin O = opposite / hypotenuse = 2 / sqrt53 = 0.2747 (to nearest thousandth
(answer)
The numerical value of sine of the given angle is 0.275.
What is the sine of an angle in a right-angle triangle?
The sine of an angle is the ratio of the height to the hypotenuse of that triangle.
When the terminal side of angle 'θ' in standard position, passes through point (x, y) then the radius of the unit circle will be
r = √(x² + y²)
Here, the given point is (7, 2).
Therefore, the value of r is
= √(x² + y²)
= √(7² + 2²)
= √(53)
Therefore, the value of sin (θ)
= y/r
= 2/√53
= 0.275
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