Solve 2(10sqrt{3})(5)*cos30^circ

$$2 ( 10 \sqrt { 3 } ) ( 5 ) \cdot \cos 30 ^ { \circ }$$

Evaluate

$$150$$

Solution Steps

Multiply 2 and 10 to get 20.

$$20\sqrt{3}\times 5\cos(30)$$

Multiply 20 and 5 to get 100.

$$100\sqrt{3}\cos(30)$$

Get the value of \cos(30) from trigonometric values table.

$$100\sqrt{3}\times \frac{\sqrt{3}}{2}$$

Cancel out 2, the greatest common factor in 100 and 2.

$$50\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$50\times 3$$

Multiply 50 and 3 to get 150.

$$150$$