Algebra 2Name ElizabethTorresRight TrianglesDate PeFind the measure of each side indicated. Round to the nearest tenth.1)sin52=x13x⋅7881x13⋅x78817881=788113x=16.493)5)7)9)2)4)6)8)10)
Q. Algebra 2Name ElizabethTorresRight TrianglesDate PeFind the measure of each side indicated. Round to the nearest tenth.1)sin52=x13x⋅7881x13⋅x78817881=788113x=16.493)5)7)9)2)4)6)8)10)
Set up equation: First, let's set up the equation using the definition of sine in a right triangle: sin(52∘)=hypotenuseopposite.
Solve for x: So we have sin(52∘)=x13. We need to solve for x.
Multiply and isolate x: To solve for x, multiply both sides of the equation by x to get x⋅sin(52°)=13.
Calculate sin(52°): Now, divide both sides by sin(52°) to isolate x: x=sin(52°)13.
Plug in sin(52°): Use a calculator to find sin(52°), which is approximately 0.7880 (rounded to four decimal places).
Perform division: Now, plug in the value of sin(52°) into the equation: x=0.788013.
Perform division: Now, plug in the value of sin(52°) into the equation: x=0.788013.Perform the division to find x: x≈16.5 (rounded to the nearest tenth).