## What is the value of x^{5} for x = –3

(A) –243

(B) 243

(C) –43

(D) 43

(E) 13

How many different positive integers are factors of both 28 and 42?

(A) 1(B) 2(C) 3(D) 4(E) More than 4

**Correct Answer: D**

At 3 p.m., the afternoon sun shines over a building and its rays hit the ground at a 34° angle. The building is 100 meters tall and is perpendicular to the ground. How long, to the nearest meter, is the building's shadow that is cast by the sun? (Note: sin 34° ≈ 0.56, cos 34° ≈ 0.83, tan 34° ≈ 0.67)

（A）56 （B） 67 （C） 83 （D） 120 （E） 148

**Correct Answer: E**

A right triangle has sides measuring 12 inches, 35 inches, and 37 inches. What is the cosine of the angle that lies opposite the 35-inch side?

(F) (G) (H) (J) (K)

**Correct Answer: J**

### More ACT Math Exam Questions

- 1Which of the following is a solution to the quadratic equation x2 – 24x = 0?
- 2What is the sum of the prime factors of the number 330?
- 3 Three of the vertices of a square are (2,3), (5,3), and (2,4.What is the length of a side of the square
- 4
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?

- 5In the standard (x, y) coordinate plane, the center of the circle shown below lies on the y-axis at y = 3. If the circle is also tangent to the x-axis, then what is the equation of the circle?