Use special right triangles to solve for the exact value of x.

Solution:

From the right angle triangle

We know that

Base or adjacent side = 8 units

Height or opposite side of the angle = x units

Hypotenuse = x units

We should find the value of x.

In a right angle triangle

cosx = Base / hypotenuse

Substituting the values

cos 60 = 8/x

1/2 = 8/x

So we get

x = 8 × 2

x = 16

Therefore, the exact value of x is 16.

Use special right triangles to solve for the exact value of x.

Summary:

Using special right triangles the exact value of x is 16.