Solve 0.1*10^2*175.4283+tan25^circ*(168008.445*cos20^circ-1125*sin20^circ-13157.12)

$$0.1 \times 10 ^ { 2 } \times 175.4283 + \tan 25 ^ { \circ } \times ( 168008.445 \times \cos 20 ^ { \circ } - 1125 \times \sin 20 ^ { \circ } - 13157.12 )$$

Evaluate

$$1760.002941424762685$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.1 \cdot 10 ^ {2} \cdot 175.4283 + 5.719941424762685$$

Calculate 10 to the power of 2 and get 100.

$$0.1\times 100\times 175.4283+5.719941424762685$$

Multiply 0.1 and 100 to get 10.

$$10\times 175.4283+5.719941424762685$$

Multiply 10 and 175.4283 to get 1754.283.

$$1754.283+5.719941424762685$$

Add 1754.283 and 5.719941424762685 to get 1760.002941424762685.

$$1760.002941424762685$$

Factor

$$\frac{167 \cdot 307 \cdot 71809 \cdot 1951253 \cdot 7 ^ {2}}{2 ^ {15} \cdot 5 ^ {14}} = 1760\frac{588284952512}{200000000000000} = 1760.0029414247626$$