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17. - / 1 points use a calculator to estimate the value of the followin…

Question

  1. - / 1 points use a calculator to estimate the value of the following. round to the nearest ten - thousandth. \\(\tan 61^{\circ}\\)

Explanation:

Step1: Set calculator to degree mode

Ensure the calculator is in degree mode (not radians) to calculate the tangent of an angle in degrees.

Step2: Calculate tan(61°)

Using a calculator, compute $\tan(61^\circ)$. The calculator gives approximately 1.80404775527.

Step3: Round to ten - thousandth

The ten - thousandth place is the fourth decimal place. Looking at the number 1.80404775527, the fourth decimal is 0, and the next digit (fifth decimal) is 4, which is less than 5, so we round down. So, 1.8040 when rounded to the nearest ten - thousandth.

Answer:

1.8040