## In the figure below, M is on and O is on . and are parallel. The dimensions given are in feet. What is the length, in feet, of ?

(A)39

(B) 91

(C) 105

(D) 273

(E) 294

What is cos given that = + and that cos (a+b) = cos a (cos b) - sin a (sin b)? (Note: You may use the following table of values.)

（A） （B） - （C） （D） 0.999 （E）

**Correct Answer: A**

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

**Correct Answer: D**

A magician performing at children's birthday parties charges $120.00 total for a one-hour performance with ten goodie bags for children at the party. She will provide additional goodie bags for $2.50 each. For an additional $25.00, she will also present a 15-minute laser light show. The magician is always paid on the day of the show, receives no tips or other additional payments, and never varies the length of the show. If the magician performs exactly four shows one weekend, presents the light show at three of those performances, and collects $635.00 total, how many additional goodie bags did she provide?

(A) 26 (B) 32 (C) 48 (D) 86 (E) 254

**Correct Answer: B**

### More ACT Math Exam Questions

- 1Which of the following lines has the same graph as the line 2x - y = 12?
- 2
The 4 integers

*j*,*j*,*k*, and*n*have an average of 0. Which of the following equations*must*be true? - 3
In the real numbers, which of the following is the domain of the function ?

- 4
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

The angle opposite the 120-foot side measures about 65.2°. Greg would like to make a second sail. This one will still be a right triangle with a 50-foot side as one leg, but the 120-foot side will be shortened until the angle opposite that side is about 10°. By about how many feet will Greg need to shorten the 120-foot side?

(Note: sin 10° ≈ .17, cos 10° ≈ .98, tan 10° ≈ .18)

- 5
*Eldridge opened a savings account with an initial balance of $1,000. After that, every month for 8 months, she made one deposit to the account, always for the same amount. During that time, she made just one withdrawal.*If each of Eldridge’s 8 deposits was in the amount of $200 and her withdrawal was $350, how much money did her account have at the end of 8 months?