91Ó°ÊÓ

Convert each angle to degrees-minutes-seconds. Round to the nearest whole number of seconds. $$ 17.8^{\circ} $$

Convert each angle to degrees-minutes-seconds. Round to the nearest whole number of seconds. $$ -17.33^{\circ} $$

Convert each angle to degrees-minutes-seconds. Round to the nearest whole number of seconds. $$ 18.123^{\circ} $$

Perform the indicated operation. Express the result in terms of \(\pi\) $$ \frac{\pi}{3}+\frac{\pi}{4} $$

Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). Round to the nearest tenth. $$ \alpha=1.3, r=26.1 \mathrm{~m} $$

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

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. $$ \alpha=180^{\circ}, s=10 \mathrm{~km} $$

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. $$ \alpha=360^{\circ}, s=8 \mathrm{~m} $$

Perform each computation without a calculator. Express the answer in degrees- minutes-seconds format. Use a calculator to check your answers. $$ \left(34^{\circ} 40^{\prime} 15^{\prime \prime}\right) / 3 $$

Accurately draw a small \(45-45-90\) triangle on paper or cardboard and cut it out. Label the angles \(45^{\circ}, 45^{\circ},\) and \(90^{\circ} .\) Label the sides \(1,1,\) and \(\sqrt{2}\). Do the same for a \(30-60-90\) triangle. Label its angles \(30^{\circ}, 60^{\circ}\) and \(90^{\circ} .\) Label its sides \(1,2,\) and \(\sqrt{3}\).