By Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Dave Sobecki
The eleventh variation of Analytic Trigonometry maintains to supply readers trigonometric thoughts and functions. virtually each suggestion is illustrated through an instance through an identical challenge to inspire an energetic involvement within the studying technique, and inspiration improvement proceeds from the concrete to the summary. huge bankruptcy overview summaries, bankruptcy and cumulative overview workouts with solutions keyed to the corresponding textual content sections, potent use of colour reviews and annotations, and widespread monitors of significant fabric to aid grasp the topic. Analytic Trigonometry, 11e comprises up-to-date functions from a number assorted fields.
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Extra info for Analytic Trigonometry with Applications, 11th
Dallas, TX, 32°50ЈN; Lincoln, NE, 40°50ЈN u r 64. Buffalo, NY, 42°50ЈN; Durham, NC, 36°0ЈN Eye Figure for 57–60 57. 26 mm, 58. 1 mm, (to one decimal place) r = ? u = ? Geography/Navigation In Problems 65–68, ﬁnd the distance on the earth’s surface, to the nearest nautical mile, between each pair of cities. A nautical mile is the length of 1Ј of arc on the equator or any other circle on the surface of the earth having the same center as the equator. See the ﬁgure. Since there are 60 * 360 = 21,600¿ in 360°, the length of the equator is 21,600 nautical miles.
FIGURE 4 Solution The earth–Venus line at its largest angle to the earth–sun line must be tangent to Venus’s orbit. Thus, from plane geometry, the Venus–sun line must be at right angles to the earth–Venus line at this time. The sine ratio involves two known quantities and the unknown distance from Venus to the sun. To ﬁnd x we proceed as follows: x 93,000,000 x = 93,000,000 sin 46° = 67,000,000 mi sin 46° = Solve for x. Use a calculator. To two signiﬁcant digits ■ 36 1 RIGHT TRIANGLE RATIOS Matched Problem 3 EXAMPLE 4 If the largest angle that the earth–Mercury line makes with the earth–sun line is 28°, how far is Mercury from the sun?
Surveying When the sun’s angle of elevation is 41°, a building casts a shadow of 38 m. How high is the building? 12. Navigation From the top of a lighthouse 21 m high, a sailboat is sighted at an angle of depression of 6°. How far from the base of the lighthouse is the boat? 13. Boat Safety Use the information in the ﬁgure to ﬁnd the distance x from the boat to the base of the cliff. 0 m x Figure for 13 38 1 RIGHT TRIANGLE RATIOS 14. Boat Safety In Problem 13, how far is the boat from the top of the cliff?
Analytic Trigonometry with Applications, 11th by Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Dave Sobecki