Solve =sqrt{(7)^2+(24)^2+2*7*24cos90}

$$= \sqrt { ( 7 ) ^ { 2 } + ( 24 ) ^ { 2 } + 2 \times 7 \times 24 \cos 90 }$$

Evaluate

$$25$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt{49+24^{2}+2\times 7\times 24\cos(90)}$$

Calculate 24 to the power of 2 and get 576.

$$\sqrt{49+576+2\times 7\times 24\cos(90)}$$

Add 49 and 576 to get 625.

$$\sqrt{625+2\times 7\times 24\cos(90)}$$

Multiply 2 and 7 to get 14.

$$\sqrt{625+14\times 24\cos(90)}$$

Multiply 14 and 24 to get 336.

$$\sqrt{625+336\cos(90)}$$

Get the value of \cos(90) from trigonometric values table.

$$\sqrt{625+336\times 0}$$

Multiply 336 and 0 to get 0.

$$\sqrt{625+0}$$

Add 625 and 0 to get 625.

$$\sqrt{625}$$

Calculate the square root of 625 and get 25.

$$25$$