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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)

(F) 9

(G) 49

(H) 71

(J) 111

(K) 122

A password for a computer system requires exactly 6 characters. Each character can be either one of the 26 letters from A to Z or one of the ten digits from 0 to 9. The first character must be a letter and the last character must be a digit. How many different possible passwords are there?

(A) less than 10⁷(B) between 10⁷and 10⁸(C) between 10⁸and 10⁹(D) between 10⁹and 10¹⁰(E) more than 10¹⁰

Correct Answer: C

On his first day working out, Anthony did 30 push-ups. On each successive day, he did exactly 3 more push-ups than on the previous day. After completing his push-ups on the 30th day, how many push-ups had he completed on all 30 days?

(F) fewer than 500(G) between 500 and 1,000(H) between 1,000 and 1,500(J) between 1,500 and 2,000(K) more than 2,000

Correct Answer: K

Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?

(F) $536(G) $540(H) $542(J) $545(K) $548

Correct Answer: G