Home->ACT Math

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

A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?

(A) 42 (B) 72 (C) 102 (D) 156 (E) 204

Correct Answer: C

For all real numbers x and y such that the product of y and 4 is x, which of the following expressions represents the sum of y and 4 in terms of x?

（A）x + 4 （B） 4x + 4 （C） 4(x + 4) （D） （E）

Correct Answer: E

Given that m and n are parallel lines, T is a transversal crossing both m and n, and m b = 100°, what is the measure of e?

（A）40° （B） 50° （C） 80° （D） 100° （E） 120°

Correct Answer: C