Round to the nearest tenth.Round to the nearest tenth.w = 51.8X = 25 degreesx = 13.4w = 51.4X = 15 degreesx = 13.8w = 51.4X = 25 degreesx = 13.8w = 51.8X = 15 degreesx = 13.4

Round to the nearest tenthRound to the nearest tenthw 518X 25 degreesx 134w 514X 15 degreesx 138w 514X 25 degreesx 138w 518X 15 degreesx 134 class=

Respuesta :

Solution:

From the triangle, (taking the triangle to be a right angled triangle)

[tex]\begin{gathered} tan\text{ 75= }\frac{50}{x} \\ x=\frac{50}{tan75} \\ \\ x=13.397 \\ x=13.4\text{ \lparen1 decimal place\rparen} \end{gathered}[/tex][tex]\begin{gathered} 90+75+X=180\text{ \lparen sum of angles in a triangle\rparen} \\ X=180-90-75 \\ X=15\text{ }^0 \end{gathered}[/tex][tex]\begin{gathered} w^2=50^2+13.397^2(Pythagoras\text{ theorem\rparen} \\ w^2=2679.48 \\ w=\sqrt{2679.48} \\ w=51.76 \\ w=51.8\text{ \lparen1 decimal place\rparen} \end{gathered}[/tex]