Take this Quiz: ACT Mathematics — right-triangle trigonometry, functions and sequences | Zestly

Question 1

In triangle ABC the angle at C is a right angle. Side AC measures 3 inches and side BC measures 4 inches. What is the tangent of angle A?

Accepted Answer

4/3

Answer

4/5

Answer

3/5

Answer

3/4

Question 2

In triangle XYZ the angle at Z is a right angle. Side XZ measures 8 inches and the hypotenuse XY measures 17 inches. What is the sine of angle X?

Accepted Answer

15/17

Answer

15/8

Answer

17/15

Answer

8/17

Question 3

In triangle PQR the angle at R is a right angle and angle P measures 30 degrees. Side PR measures 5 inches. How long is side QR?

Accepted Answer

5 times the square root of 3, divided by 3

Answer

5 times the square root of 3

Answer

10

Answer

5/2

Question 4

In triangle DEF the angle at F is a right angle and angle D measures 45 degrees. Side DF measures 7 inches. How long is side EF?

Answer

7 times the square root of 2

Answer

3.5

Answer

14

Answer

7

Question 5

If g(x) = 2x + 4, for what value of x does g(x) equal 12?

Answer

2

Answer

4

Answer

6

Answer

8

Question 6

What is the domain of h(x) = 1/(x - 5)?

Answer

All real numbers except 5

Answer

All real numbers except 0

Answer

All real numbers greater than 5

Answer

All real numbers