The Official ACT Prep Guide, 2018-19 Edition (Book + Bonus Online Content) by ACT

Author:ACT
Language: eng
Format: epub
ISBN: 9781119508052
Publisher: Wiley
Published: 2018-04-14T00:00:00+00:00

Question 20. The correct answer is G. All the answer choices are in terms of ∠A. Many people remember the trigonometric functions in the context of a right triangle, in terms of the lengths of the side opposite the angle, the side adjacent to the angle, and the hypotenuse. For the triangle given in the problem, the side opposite ∠A has length 12 cm, the side adjacent to ∠A has length 5 cm, and the hypotenuse has length 13 cm. The values of the trig functions are , , and .

The only answer choice that gives one of these is G.

If you chose F, you may have been expecting the angle to be at one end of the horizontal base of the triangle. The value of cos B is . Triangles can be rotated to any position. The terms opposite, adjacent, and hypotenuse are chosen to apply when the triangle is in an arbitrary position.

Question 21. The correct answer is D. To find the location of the water fountain located halfway between points B and D, it makes sense to give coordinates to the points relative to point A (see the following diagram). The first coordinate is the number of blocks east, and the second coordinate is the number of blocks north.

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