Find the approximate value of sin(29°30') given that 1° = 0.0175c, 3 = 1.732.

To find the approximate value of sin(29°30'), we first need to convert the angle into decimal degrees. The angle 29°30' can be expressed as:

• 29° + 30' = 29° + 0.5° = 29.5°

Next, we can use the small angle approximation for sine, which states that for small angles in radians, sin(x) is approximately equal to x. First, we convert degrees to radians:

• Radians = Degrees × 0.0175
• 29.5° × 0.0175 = 0.51625 radians

Now, applying the approximation:

• sin(29.5°) ≈ 0.51625

For a more precise value, we can also use the sine function directly or a calculator, but using the approximation gives us a quick estimate. Therefore, the approximate value of sin(29°30') is:

0.516