Solve 120*sin60^circ+120*sin75^circ

$$120 \times \sin 60 ^ { \circ } + 120 \times \sin 75 ^ { \circ }$$

Evaluate

$$60\sqrt{3}+115.911099154688196\approx 219.834147609$$

Solution Steps

Evaluate trigonometric functions in the problem

$$120 \cdot \sin(60) + 120 \cdot 0.9659258262890683$$

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

$$120\times \frac{\sqrt{3}}{2}+120\times 0.9659258262890683$$

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

$$60\sqrt{3}+120\times 0.9659258262890683$$

Multiply 120 and 0.9659258262890683 to get 115.911099154688196.

$$60\sqrt{3}+115.911099154688196$$