In the following triangle, what is the value of sec n?
A.
B.
C.
D.
E.
(A)
(B)
(C)
(D)
(E)
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 a?
(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
More ACT Math Exam Questions
- 1What is the coefficient of x8 in the product of the polynomials below?
(–x4 + 3x3 - 5x2 + x - 5)(5x4 - 2x3 + x2 - 5x + 2)
- 2Melissa attaches her dog's leash to a metal anchor in the grass so that
the dog can roam only within a radius of 12 feet in any direction from
the anchor. A map of the area accessible to the dog is shown below in
the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Which of the following is closest to the area, in square feet, the dog can roam?
- 3In the figure below, all line segments intersect at right angles, and all measurements are given in inches. What is the perimeter of the figure in inches?
- 4
What is the formula of a line that is perpendicular to and includes the point (3, 4)?
- 5
The coordinates of the vertices of MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on , point Q lies on , and point R lies on .
What is the value of cos (MON)?