Concept explainers
Solar Eclipse on Neptune (Refer to Exercise 69.) The sun’s distance from Neptune is approximately 2,800,000,000 mi (2.8 billion mi). The largest moon of Neptune is Triton, with a diameter of approximately 1680 mi. (Source: World Almanac and Book of Facts.)
Calculate the maximum distance, to the nearest thousand miles, that Triton can be from Neptune for a total eclipse of the sun to occur on Neptune. (Hint: Use similar
Triton is approximately 220,000 mi from Neptune. Is it possible for Triton to cause a total eclipse on Neptune?
Solar Eclipse on Earth The sun has a diameter of about 865,000 mi with a maximum distance from Earth's surface of about 94,500,000 mi. The moon has a smaller diameter of 2159 mi. For a total solar eclipse to occur, the moon must pass between Earth and the sun. The moon must also be close enough to Earth for the moon's umbra (shadow) to reach the surface of Earth. (Source: Karttunen, H., P. Kröger, H. Oja, M. Putannen, and K. Donners, Editors, Fundamental Astronomy, Fourth Edition, Springer-Verlag.)
Calculate the maximum distance, to the nearest thousand miles, that the moon can be from Earth and still have a total solar eclipse occur. (Hint: Use similar triangles.)
The closest approach of the moon to Earth's surface was 225,745 mi and the farthest was 251,978 mi. (Source: World Almanac and Book of Facts.) Can a total solar eclipse occur every time the moon is between Earth and the sun?
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Trigonometry plus MyLab Math with Pearson eText -- Access Card Package (11th Edition)
- = 1 2 = 3 4 ווי LQ 5 Español On the unit circle, sketch 0 = 0.95π radians in standard position. Then use the coordinates shown, which are rounded to the hundredths place, to find cos (0.95π) and sin (0.95π). Write your answers to the hundredths place. (1.00, 0.00) 0.00 Drag to show the angle. 스 cos (0.95π) = ☐ sin (0.95π) = ☐arrow_forwardFrom the ground, a rubber ball is launched 20 feet into the air. If its rebound is 7/10, how far will it have vertically traveled after the first five bounces?arrow_forwardS SC0004 Chrome File 0- -o Edit View History Bookmarks Profiles Tab Window Help www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkas NW8D8A9... Quiz 2 Unit Circle Question 3 of 5 (1 point) | Question Attempt: 1 of 1 1 2 3 4 = 5 Answer the following. (a) For each function below, indicate whether it is odd, even, or neither. f(x) = secx Odd Even Neither g(x) = cosx Odd Even Neither Απ (b) sec (Choose one) 11 (c) cos(-59°) = (Choose one) Continue O 202 ☑ G LT + Time Remaining: 17:04 Taylen Español Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility only Horo 324 1 JAN O O O 14 άtvarrow_forward
- S Chrome File Edit View History Bookmarks Profiles Tab Window Help 0- -o www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkasNW8D8A9... Quiz 2 Unit Circle LT + Time Remaining: 22:04 Taylen Question 5 of 5 (1 point) | Question Attempt: 1 of 1 1 2 3 4 5 LO Español Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find the exact values of cote, cose, and csc 0. 12 5 (몸-음) 13 13 SC0004 cote cose = ☐ = csc0 = II ☐ ☐ 202 O|O ☑ Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility only Horo 324 1 JAN O O O 14 άtvarrow_forwardplete the parts below. ) Two unit circles are shown. Sketch the requested angles in standard position. Sketch the angle 11π 6 11π radians. Sketch the angle radians. 6 Español (1, 0) (1, 0) Drag to show the angle. Drag to show the angle. 스 Х ) Find the following. Use exact values and not decimal approximations. 11π sin ☐ 6 Continue SC0004 O 스 Х G Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Silve Sobole 324 JAN O O O 14 ŕtvarrow_forwardLet θ = - 11π/4Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π?Part B: What are the exact values of all six trigonometric functions evaluated at θ?arrow_forward
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