Answer:
1) y = [tex](15)(0.446)[/tex] = 6.69 ft
2)x = [tex]sin^{-1}(0.552) = 33.5 degrees[/tex]
3)x = [tex]tan^{-1}(0.25) = 14.04 degrees[/tex]
4)x = 12 units
Step-by-step explanation:
The above problems can be solved by trigonometry.
1) sin(26.5) = 0.446 = [tex]\frac{opposite}{hypotenous} = \frac{y}{15}[/tex]
y = [tex](15)(0.446)[/tex] = 6.69 ft
2)sin(x) = [tex]\frac{opposite}{hypotenous} = \frac{32}{58}[/tex]
sin(x) = 0.552
x = [tex]sin^{-1}(0.552) = 33.5 degrees[/tex]
3) tan(x) = [tex]\frac{opposite}{adjacent} = \frac{5}{20} = \frac{1}{4} = 0.25[/tex]
x = [tex]tan^{-1}(0.25) = 14.04 degrees[/tex]
4) sin(45) = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{opposite}{hypotenous} = \frac{6\sqrt{2}}{x}[/tex]
x = 12 units
