1. The problem states that we want to find $h$ given the equation $\cos(60) = \frac{1}{h}$. 2. Recall that $\cos(60^\circ) = \frac{1}{2}$. 3. Substitute this value into the equation: $\frac{1}{2} = \frac{1}{h}$. 4. To find $h$, cross-multiply: $1 \times h = 2 \times 1$. 5. Simplify: $h = 2$. 6. Therefore, the value of $h$ is 2.