Solve 1200*9.8*tan(6^circ)+11754.17*sec(6^circ)

$$1200 \times 9.8 \times \tan ( 6 ^ { \circ } ) +11754.17 \times \sec ( 6 ^ { \circ } )$$

Evaluate

$$13054.941061121452732988$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1200 \cdot 9.8 \cdot 0.10510423526567646 + 11754.17 \cdot 1.0055082795635164$$

Multiply 1200 and 9.8 to get 11760.

$$11760\times 0.10510423526567646+11754.17\times 1.0055082795635164$$

Multiply 11760 and 0.10510423526567646 to get 1236.0258067243551696.

$$1236.0258067243551696+11754.17\times 1.0055082795635164$$

Multiply 11754.17 and 1.0055082795635164 to get 11818.915254397097563388.

$$1236.0258067243551696+11818.915254397097563388$$

Add 1236.0258067243551696 and 11818.915254397097563388 to get 13054.941061121452732988.

$$13054.941061121452732988$$

Factor

$$\frac{7 \cdot 101 \cdot 4616315792475761221}{2 ^ {16} \cdot 5 ^ {18}} = 13054\frac{2.352652803633316 \times 10^{17}}{2.5 \times 10^{17}} = 13054.941061121453$$