A 25-foot ladder stands against a vertical wall at an angle of ndegrees with the ground. If , how far is the base of the ladder from the wall?
(A) 12
(B) 13
(C) 14
(D) 15
(E) 16
In RST below, S is a right angle, = 7 units, and = 2 units. What does csc T equal?
(A) (B) (C) (D) (E)
Correct Answer: C
Two contractors bid on a job to build a brick wall in a yard. Contractor A charges a flat fee of $1,600 plus $2 per brick. Contractor B charges a flat fee of $400 plus $8 per brick. If x represents the number of bricks in the wall, which of the following equations could be solved to determine the number of bricks which would make B's charge to build the wall equal to A's charge?
(A)1600 + 2x = 400 + 8x (B) 1600 + 8x = 400 + 2x (C) 2x + 8x = x (D) 2x + 8x = 1600 (E) 2x + 8x = 400
Correct Answer: A
More ACT Math Exam Questions
- 1
In the standard (x,y) coordinate plane, which of the following is the equation of the line perpendicular to the line y = -2x + 2 and that passes through the point (0,-3)?
- 2
The figure below shows a portion of a tile floor from which the shaded polygon will be cut in order to make a repair. Each square tile has sides that measure 1 foot. Every vertex of the shaded polygon is at the intersection of 2 tiles. What is the area, in square feet, of the shaded polygon?
- 3
In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.
The lines in which of the following pairs of lines are necessarily parallel?
I. and
II. and
III. and
- 4
There are 45 musicians in an orchestra, and all play two instruments. Of these musicians, 36 play the piano, and 22 play the violin. What is the maximum possible orchestra members who play both the piano and the violin?
- 5
Which choice below is the complete solution set of |2z - 3| ≥ 7?