Solve a=45^2+68^2-2*45*68*cos49^circ

$$a = 45 ^ { 2 } + 68 ^ { 2 } - 2 \times 45 \times 68 \times \cos 49 ^ { \circ }$$

Solve for a

$$a=2633.918742578095324$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$a = 45 ^ {2} + 68 ^ {2} - 2 \cdot 45 \cdot 68 \cdot 0.6560590289905073$$

Calculate 45 to the power of 2 and get 2025.

$$a=2025+68^{2}-2\times 45\times 68\times 0.6560590289905073$$

Calculate 68 to the power of 2 and get 4624.

$$a=2025+4624-2\times 45\times 68\times 0.6560590289905073$$

Add 2025 and 4624 to get 6649.

$$a=6649-2\times 45\times 68\times 0.6560590289905073$$

Multiply 2 and 45 to get 90.

$$a=6649-90\times 68\times 0.6560590289905073$$

Multiply 90 and 68 to get 6120.

$$a=6649-6120\times 0.6560590289905073$$

Multiply 6120 and 0.6560590289905073 to get 4015.081257421904676.

$$a=6649-4015.081257421904676$$

Subtract 4015.081257421904676 from 6649 to get 2633.918742578095324.

$$a=2633.918742578095324$$

Assign a

$$a≔2633.918742578095324$$