Home->ACT Math

As shown in the figure below, a skateboard ramp leading from the top of a boulder is 10 feet long and forms a 32° angle with the level ground. Which of the following expressions represents the height, in feet, of the boulder?

(F) 10 tan 32°

(G)

(H)

(J) 10 sin 32°

(K) 10 cos 32°

The graphs of the equations y = –(x) + 1 and y = -(x + 1)² + 4 are shown in the standard (x,y) coordinate plane below. What real values of x, if any, satisfy the following inequality: –(x + 1)² + 4 > –(x) + 1?

（A）x < -3 and x > 1 （B） x < -2 and x > 1 （C） -3 < x < 1 （D） -2 < x < 1 （E） No real values

Correct Answer: D

Which of the following is equal to (n– 3)²if n= 11?

(A) (n+ 6)(n– 6)(B) (n+ 5)(n– 7)(C) (n+ 4)(n– 8)(D) (n+ 3)(n– 9)(E) (n+ 2)(n– 10)

Correct Answer: B

In ΔXYZ, Y is a right angle and Z measures less than 52°. Which of the following phrases best describes the measure of X?

(A) Greater than 38°(B) Equal to 38°(C) Equal to 45°(D) Equal to 142°(E) Less than 38°

Correct Answer: A