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Magazine Problem 74
Convert the angle measures given in DMS form to decimal degrees with three decimal places. $$150^{\circ} 40^{\prime} 20^{\prime \prime}$$
Problem 75
In this set of exercises, you will use right triangle trigonometry to study real-world problems. Unless otherwise indicated, round answers to four decimal places. The angles of depression of two points on the ground with respect to a hot-air balloon 2 miles up in the air are \(14^{\circ}\) and \(32^{\circ} .\) How far apart are the two points if they lie on a straight line that passes through the point on the ground that is directly below the balloon?
Problem 75
Use the negative-angle identities to compute the exact value of each of the given trigonometric functions. $$\sec \left(-\frac{4 \pi}{3}\right)$$
Problem 75
Convert the angle measures given in decimal degrees to DMS form. Round to the nearest second. $$53.5^{\circ}$$
Problem 76
Convert the angle measures given in decimal degrees to DMS form. Round to the nearest second. $$87.5^{\circ}$$
Problem 76
In this set of exercises, you will use right triangle trigonometry to study real-world problems. Unless otherwise indicated, round answers to four decimal places. The angle of elevation of the top of a hill with respect to a certain point on the surrounding level ground is \(10^{\circ} .\) If the hill is 9 feet high, what is the horizontal distance of the top of the hill from that point?
Problem 76
Use the negative-angle identities to compute the exact value of each of the given trigonometric functions. $$\csc \left(-\frac{5 \pi}{4}\right)$$
Problem 77
Use the negative-angle identities to compute the exact value of each of the given trigonometric functions. $$\tan \left(-\frac{7 \pi}{3}\right)$$
Problem 77
Convert the angle measures given in decimal degrees to DMS form. Round to the nearest second. $$40.25^{\circ}$$
Problem 77
In this set of exercises, you will use right triangle trigonometry to study real-world problems. Unless otherwise indicated, round answers to four decimal places. A ramp makes an angle of \(15^{\circ}\) with the ground. If the top of the ramp is 4 feet above the ground, how long is the ramp?
