Solve 80*sin70^circ+120*sin60^circ

$$80 \times \sin 70 ^ { \circ } + 120 \times \sin 60 ^ { \circ }$$

Evaluate

$$60\sqrt{3}+75.175409662872664\approx 179.098458117$$

Solution Steps

Evaluate trigonometric functions in the problem

$$80 \cdot 0.9396926207859083 + 120 \cdot \sin(60)$$

Multiply 80 and 0.9396926207859083 to get 75.175409662872664.

$$75.175409662872664+120\sin(60)$$

Get the value of \sin(60) from trigonometric values table.

$$75.175409662872664+120\times \frac{\sqrt{3}}{2}$$

Cancel out 2, the greatest common factor in 120 and 2.

$$75.175409662872664+60\sqrt{3}$$