Chapter 68, Problem 1A

Determine the size of ∠x to the nearest hundredth degree.

To determine

The size of ∠x to the nearest hundredth degree.

Answer to Problem 1A

The size of ∠x to the nearest hundredth degree is 6.1652°.

Explanation of Solution

Given Information:

  

Concept used:

  $\tan \theta =\frac{oppositeside}{adjacentside}$

  $\begin{array}{l}\angle x=2\theta \\ \tan \theta =\frac{oppositeside}{adjacentside}\\ \tan \theta =\frac{\frac{16.051-9.525}{2}}{60.590}\\ \theta =3.0826°\\ \angle x=2\theta \\ \angle x=6.1652°\end{array}$

Conclusion:

The size of ∠x to the nearest hundredth degree is 6.1652°.