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In the following triangle, what is the value of sec n?

A.
B.
C.
D.
E.


(A)

(B)

(C)

(D)

(E)

The Correct Answer
Explanation

Jasper wants to measure the altitude of his kite. He ties the kite string to a spike driven into the ground and measures the angle between the string and the ground. Then, he creates 2 similar triangles by adjusting the distance between an 8 foot pole and the spike until the angle created by a piece of string tied to the top of the pole and to the spike with the ground is the same as the angle he measured previously. The length of the string to the kite is 85 feet and the length of the string to the pole is 17 feet. Which of the following is closest to the height, in feet, that the kite is above the ground?

(A) 25

(B) 40

(C) 102

(D) 110

(E) 181

Correct Answer: B

In the figure below, line m is parallel to line n. One angle formed with transversal line T measures 60°, as shown. What is the degree measure of imagea? image

(A)30° (B) 60° (C) 90° (D) 120° (E) Cannot be determined

Correct Answer: D

Which of the following lines has the same graph as the line 2x - y = 12?

(A)6x + 3y = 36 (B) 4x + 2y = 24 (C) 4x - 2y = 12 (D) 4x - 4y = 24 (E) -6x + 3y = -36

Correct Answer: E

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