If the sin of angle x is and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.
Accepted Solution
A:
Answer:Sin of x does not changeStep-by-step explanation:When we dilate a shape all the dimensions of the shape increases by a common factor.[tex]sin(x)=\frac{\text{Opposite side}}{\text{hypotenuse}}[/tex]Here the scale factor is 2 as we are dilating to two times bigSo,[tex]sin(x)=\frac{2\times \text{Opposite side}}{2\times \text{hypotenuse}}[/tex]The 2 in the numerator and denominator get cancelled[tex]sin(x)=\frac{\text{Opposite side}}{\text{hypotenuse}}[/tex]giving us the same sin of x.∴ Sin of x does not change