Respuesta :

Answer:

65

Step-by-step explanation:

Use the formula: a²+b²=c²

63²=3969

16²=256

Add them = 4225 = c²

[tex]\sqrt{4225} = \sqrt{c^2}[/tex]

65 = c (or x in this case)

Answer:

17.96

Step-by-step explanation:

To find the hypotenuse we are will have to use Sine, since we are only given the degree and opposite leg. [tex]sin(degree)=\frac{Opposite}{Hypotenuse}[/tex]

[tex]sin(63)=\frac{16}{x}[/tex]

Let's cancel the x on the right side by multiplying both sides by x

sin(63)x = 16

Divide both sides by sin(63)  [Or 0.866, depending on the type of calculator you have]

sin(63)x ÷ sin(63) = 16 ÷ sin(63)

x = 17.9572198