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30° Choice C is correct. In the triangle shown, the measure of angle B is and 90° angle C is a right angle, which means that it has a measure of . Since the sum 180° of the angles in a triangle is equal to , the measure of angle A is equal to 180°- 30+90 ° 60° ^ h , or . In a right triangle whose acute angles have measures 30° 60° and , the lengths of the legs can be represented by the expressions x, x 3, and 2x, where x is the length of the leg opposite the angle with measure 30° 60° , x 3 is the length of the leg opposite the angle with measure , and 2x is the length of the hypotenuse. In the triangle shown, the hypotenuse has a length 54 2 =54 =27 of . It follows that x , or x . Therefore, the length of the leg opposite 27 27 3 angle B is and the length of the leg opposite angle A is . The tangent of an acute angle in a right triangle is defined as the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle. The length of the 27 3 27 leg opposite angle A is and the length of the leg adjacent to angle A is . tan 27 3 Therefore, the value of A is 27 , or 3. Choice A is incorrect and may result from conceptual or calculation errors. 1 tan Choice B is incorrect. This is the value of tan , not the value of A. Choice D is A tan incorrect. This is the length of the leg opposite angle A, not the value of A. 41 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1