Topic Test Answers

A ship’s sonar detects a submarine 880 feet below a point on the ocean’s surface 1450 ft dead ahead of the ship. To the nearest degree, find the angle x.

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.

Examine the following wavelength. What is the ratio of the wavelengths of these two notes?

Which of the following statements is true?

The phases of the moon are periodic and repetitive. A new moon occurs when no moon is visible to an observer on Earth. During the first quarter, half of the side of the moon facing the Earth is visible. During a full moon the entire side of the moon is visible. During the last quarter the other half of the side of the moon facing Earth is visible. The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008. Date Moon Phase x: Days since Jan. 8 y: The Amount of Moon Visible Jan 8 New 0 0 Jan 15 1st quarter 7 0.5 Jan 22 Full 13 1 Jan 30 Last quarter 22 0.5 Feb 7 New 30 0 Feb 14 1st quarter 37 0.5 Feb 21 Full 44 1 Feb 29 Last quarter 52 0.5 Mar 7 New 59 0 Mar 14 1st quarter 66 0.5 Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. a. b. c. d. Please select the best answer from the choices provided

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. The sine of the complementary angle to 75°

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is ? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.

Find sin–10.9563 to the nearest degree.

A kite is currently flying at an altitude of 19 meters above the ground. If the angle of elevation from the ground to the kite is , find the length of the kite string to the nearest meter.

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table: Month Average Maximum Monthly Temperature Jan 48.1 Feb 50.9 Mar 62.4 Apr 67.0 May 76.5 Jun 83.9 Jul 86.8 Aug 88.1 Sep 79.2 Oct 69.9 Nov 59.5 Dec 49.6 Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001. a. b. c. d. Please select the best answer from the choices provided

Convert the angle to radians. Leave as a multiple of . a. c. b. d. Please select the best answer from the choices provided

Which function is illustrated by the following graph?

Determine the amplitude or period as requested. Period of a. b. c. d. Please select the best answer from the choices provided

a. c. b. d. Please select the best answer from the choices provided

Choose the graph of the following function: Graph A Graph B Graph C Graph D

What is the domain of a sine function?

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A. a. c. b. d. Please select the best answer from the choices provided

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A. a. c. b. d. Please select the best answer from the choices provided

Interpret the following sine regression model. What is the value of b in this equation?

Solve for x. Round your answer to the nearest thousandth.