Question

What is the value of x to the nearest whole number?

Answer 1

17.96

Explanation:

To find the hypotenuse we are will have to use Sine, since we are only given the degree and opposite leg.
`sin(degree)=(Opposite)/(Hypotenuse)`

`sin(63)=(16)/(x)`

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

Answer 2

65

Explanation:

Use the formula: a²+b²=c²

63²=3969

16²=256

Add them = 4225 = c²

`√(4225) = √(c^2)`

65 = c (or x in this case)