# Analytic Trigonometry with Applications, 11th by Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Dave

By Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Dave Sobecki

The eleventh variation of Analytic Trigonometry maintains to provide readers trigonometric innovations and purposes. virtually each thought is illustrated by way of an instance by way of an identical challenge to inspire an lively involvement within the studying approach, and thought improvement proceeds from the concrete to the summary. broad bankruptcy overview summaries, bankruptcy and cumulative overview workouts with solutions keyed to the corresponding textual content sections, powerful use of colour reviews and annotations, and popular monitors of vital fabric to assist grasp the topic. Analytic Trigonometry, 11e comprises up to date functions from a number of varied fields.

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6. 5°. How high is the kite? 7. Surveying A ﬂagpole stands in the middle of a ﬂat, level parking lot. Twenty-nine ft away the angle of elevation to the top of the ﬂagpole is 38°. How tall is the ﬂagpole? 8. 4 m from the base of the dam is 64°30'. How high is the dam? 9. Surveying You have walked 21 m away from a tree. At that point the angle of elevation to the top of the tree is 75°. How tall is the tree? 10. Flight A large airplane (plane A) ﬂying at 31,000 ft sights a smaller plane (plane B) traveling at an altitude of 28,000 ft.

Is the shortest pipeline from the island to the water tank the least costly? Explain. ) 37. Surveying Use the information in the ﬁgure to ﬁnd the height y of the mountain. 0 km The pipeline costs $40,000 per mile in the ocean and $20,000 per mile on the land. (A) Do you think that the total cost is independent of the angle u chosen, or does it depend on u? Explain. (B) Express the total cost C of the pipeline in terms of u. (C) Find C for u = 15° (to the nearest hundred dollars). (D) The following table from a graphing calculator display shows the various costs for u from 15° to 45° (X represents u and Y1 represents C).

40 46° 48° 50° 52° 54° 56° (G) Using the values in Table 2, estimate the longest log (to two decimal places) that will go around the corner in the canal. (H) Discuss further reﬁnements on this process. 1 ANGLES, DEGREES, AND ARCS Terminal side Vertex P R l u Initial side An angle is formed by rotating a half-line, called a ray, around its end point. See Figure 1: One ray k, called the initial side of the angle, remains ﬁxed; a second ray l, called the terminal side of the angle, starts in the initial side position and is rotated around the common end point P in a plane until it reaches its terminal position.