A surveyor took and recorded the measurements shown in the figure
below. If the surveyor wants to use these 3 measurements to calculate
the length of the pond, which of the following would he find to be the
most useful?
(A)The Pythagorean Theorem
(B) The ratios for the side lengths of 30°-60°-90° triangles
(C) The ratios for the side lengths of 45°-45°-90° triangles
(D) The law of cosines, which states that for any ΔABC, where a is the length of the side opposite 
a, b is the length of the side opposite b, and c is the length of the side opposite c, a2 = b2 + c2 - 2BC[cos
(E) The law of sines, which states that the ratio between the length of the side opposite an angle and the sine of that angle is the same for all of the interior angles in the same triangle.
If x = 3, y = 5, and w = 4, what is the value of 
?
（A）9 （B） 12 （C） 79.5 （D） 153 （E） 1,689.00
Correct Answer: D
|5 - 8| - |9 - 3| = ?
（A）-9 （B） -3 （C） 1 （D） 3 （E） 9
Correct Answer: B
To this questions below, use the following graph, which provides information about the number of new clients five salespeople registered last month.
What percentage of the new clients did Yolanda register?
(F) 18%(G) 20%(H) 22%(J) 24%(K) 25%
Correct Answer: G
More ACT Math Exam Questions
- 1In a certain town in New Hampshire, there are 7,695 registered voters, 60% of whom are Democrats. How many of the town's registered voters are Democrats?
- 2
For all nonzero real numbers a, b, and c, what is the value of a0 + b0 + c0?
- 3
Alfred and Rani both picked different two-digit numbers. If you multiply Alfred’s number by 5 and double Rani’s number, the sum is 300. If you double Alfred’s number and multiply Rani’s number by 3, the sum of the two numbers is 252. What is the sum of their two numbers?
- 4The length of the hypotenuse of the right triangle figured below is 16,
and the length of one of its legs is 12. What is the cosine of angle θ?
- 5A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?