ACT Advanced by The Princeton Review
Author:The Princeton Review [The Princeton Review]
Language: eng
Format: epub
Publisher: Random House Children's Books
Published: 2021-10-26T00:00:00+00:00
48. G
The question asks how many yards due south and how many yards due east Sherrieâs house is from Tommyâs house. The question provides the angle at which Tommy travels to Sherriâs house in relationship to east and states that Tommy travels 550 yards from his house to Sherriâs. Start by drawing a vertical line to create a right triangle: draw a vertical line from the line representing due east to the line representing the direction Tommy traveled to Sherriâs house. Label this line s, and label the distance Tommy traveled, 550 yards, on the line indicating Tommyâs direction of travel. Note that the question asks about the distance Tommy traveled due south (the length of the vertical leg, s, of the triangle) and the distance he traveled due east (the length of the horizontal leg of the triangle). Given the 33° angle and the length of the hypotenuse of the triangle, use sine = to solve for s: . Solve for s by first multiplying both sides by 550: s = 550sin 33°, and using the provided values to find s = (550)(0.545) â 300 yards due south. Eliminate (F), (H), (J), and (K), since these all have different values in the Due south column. The correct answer is (G).
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