Chapter 9

1.
2. $\begin{array}{rcl} b^{2} & = & a^{2} + c^{2} - 2 a c \cos B \\ b & = & \sqrt{{22.5}^{2} + {30.9}^{2} - 2 (22.5) (30.9) \cos 78.6 °} \\ = & 34.4 \end{array}$
3. $\begin{array}{l} \begin{array}{rcl} x^{2} & = & {36.50}^{2} + {21.38}^{2} - 2 (36.50) (21.38) \cos 45.00 ° \\ x & = & 26.19 m \frac{21.38}{\sin α} = \frac{26.19}{\sin 45.00 °} \end{array} \\ \sin α = \frac{21.38 \sin 45.00 °}{26.19}, α = 35.26 ° \\ θ = 45.00 ° - 35.26 ° = 9.74 ° \end{array}$

Displacement is 26.19 m, $9.74 °$ N of E.

1-1 Full Alternative Text
4. $\begin{array}{l} C = 180 ° - (18.9 ° + 104.2 °) = 56.9 ° \\ \frac{c}{\sin C} = \frac{a}{\sin A} \\ c = \frac{426 \sin 56.9 °}{\sin 18.9 °} = 1100 \end{array}$
5. Since a is ...

Get Basic Technical Mathematics, 11th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.

Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans