Solve sqrt{L^2+b^2+h^2}=30

$$\sqrt { L ^ { 2 } + b ^ { 2 } + h ^ { 2 } } = 30$$

Solve for L (complex solution)

$$L=-\sqrt{900-h^{2}-b^{2}}$$

$$L=\sqrt{900-h^{2}-b^{2}}$$

Solve for b (complex solution)

$$b=-\sqrt{900-h^{2}-L^{2}}$$

$$b=\sqrt{900-h^{2}-L^{2}}$$

Solve for L

$$L=\sqrt{900-h^{2}-b^{2}}$$

$$L=-\sqrt{900-h^{2}-b^{2}}\text{, }|b|\leq \sqrt{900-h^{2}}\text{ and }|h|\leq 30$$

Solve for b

$$b=\sqrt{900-h^{2}-L^{2}}$$

$$b=-\sqrt{900-h^{2}-L^{2}}\text{, }|L|\leq \sqrt{900-h^{2}}\text{ and }|h|\leq 30$$