A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?
(A) 10 tan 35°
(B) 10 cos 35°
(C) 10 sin 35°
(D) 
(E) 
In ΔABC, shown below, the measure of 
b is 40°, the measure of c is 35°, and 
is 27 units long. Which one of the following is an expression of the length, in units, of 
?
(Note:
The law of sines states that for any triangle, the ratio between the
sine of an angle and the length of the side opposite that angle is the
same for all of the interior angles in the triangle.)
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: B
What is the value of yx + (2x - 2y) when x = 2 and y = -3?
(A) -10 (B) 1 (C) 7 (D) 16 (E) 19
Correct Answer: E
What is the solution set for the inequality 6 - 4(x - 2) > 4x + 5?
（A）x < - 
（B） x < - 
（C） x < 
（D） x > -
（E） x >
Correct Answer: C
More ACT Math Exam Questions
- 1
A sphere is inscribed in a cube with a diagonal of 3
ft. In feet, what is the diameter of the sphere?
- 2
Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?
- 3
If G is in the interior of right angle
DEF, then which of the following could be the measure of GEF? - 4
What is the largest value of m for which there exists a real value of n such that m2 = 196 – n2?
- 5
Which of the following values of x does NOT satisfy the inequality |x-3|≥12?