91Ó°ÊÓ

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 16^{\circ} 23^{\prime} 41^{\prime \prime}+44^{\circ} 43^{\prime} 39^{\prime \prime} $$

Use a calculator to evaluate each expression. Round approximate answers to four decimal places. $$ \frac{\sin (\pi / 12)}{\cos (\pi / 12)} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=\pi / 8, r=30 \mathrm{yd} $$

Use a calculator to evaluate each expression. Round approximate answers to four decimal places. $$ \frac{\sin (9.2)}{\cos (9.2)} $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 7^{\circ} 55^{\prime} 42^{\prime \prime}+8^{\circ} 22^{\prime} 28^{\prime \prime} $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 90^{\circ}-7^{\circ} 44^{\prime} 35^{\prime \prime} $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 180^{\circ}-49^{\circ} 39^{\prime} 45^{\prime \prime} $$

Find the radius of the circle in which the given central angle \(\alpha\) intercepts an arc of the given length s. Round to the nearest tenth. $$ \alpha=0.004, s=99 \mathrm{~km} $$

Find the radius of the circle in which the given central angle \(\alpha\) intercepts an arc of the given length s. Round to the nearest tenth. $$ \alpha=180^{\circ}, s=10 \mathrm{~km} $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ 66^{\circ} 43^{\prime} 6^{\prime \prime}-5^{\circ} 51^{\prime} 53^{\prime \prime} $$