Question 1

A right triangle has one angle that is 60°. The side adjacent to the 60° angle has a length of 7 inches. How long is the opposite side?

Accepted Answer

A)  4.12 inches 
B)  6.06 inches 
C)  7.04 inches 
D)  12.12 inches 
A)  4.12 inches 
B)  6.06 inches 
C)  7.04 inches 
D)  12.12 inches D

Question 2

A triangle which contains one 90 ° angle is called a(n) _____ triangle.

Accepted Answer

A)  adjacent 
B)  opposite 
C)  hypotenuse 
D)  right 
A)  adjacent 
B)  opposite 
C)  hypotenuse 
D)  right D

Question 3

A line that indicates both magnitude and direction is a _____.

Accepted Answer

A)  linear 
B)  vector 
C)  scalar 
D)  exponential 
A)  linear 
B)  vector 
C)  scalar 
D)  exponential B

Question 4

Vectors must be added using _____ addition.

Accepted Answer

A)  triangular 
B)  vector 
C)  rectangular 
D)  Pythagorean 
A)  triangular 
B)  vector 
C)  rectangular 
D)  Pythagorean

Question 5

A right triangle has two sides that are 9 inches and 12 inches. How long is the hypotenuse?

Accepted Answer

A)  3 inches 
B)  7 inches 
C)  15 inches 
D)  21 inches 
A)  3 inches 
B)  7 inches 
C)  15 inches 
D)  21 inches

Question 6

In a right triangle, the longest side is called the _____.

Accepted Answer

A)  adjacent side 
B)  hypotenuse 
C)  opposite side 
D)  right side 
A)  adjacent side 
B)  hypotenuse 
C)  opposite side 
D)  right side

Question 7

The function that is equal to the opposite divided by the hypotenuse is the _____.

Accepted Answer

A)  cotangent 
B)  sine 
C)  cosine 
D)  tangent 
A)  cotangent 
B)  sine 
C)  cosine 
D)  tangent

Question 8

What is the approximate sum of the following two vectors: magnitude 10 at 120° and magnitude 15 at 90°?

Accepted Answer

A)  magnitude 20 at 210° 
B)  magnitude 23 at 30° 
C)  magnitude 24 at 102° 
D)  magnitude 27 at 210° 
A)  magnitude 20 at 210° 
B)  magnitude 23 at 30° 
C)  magnitude 24 at 102° 
D)  magnitude 27 at 210°

Question 9

What is the approximate sum of the following two vectors: magnitude 20 at 30 ° and magnitude 10 at 60°?

Accepted Answer

A)  magnitude 29 at 40 ° 
B)  magnitude 30 at 30 ° 
C)  magnitude 30 at 90 ° 
D)  magnitude 40 at 90 ° 
A)  magnitude 29 at 40 ° 
B)  magnitude 30 at 30 ° 
C)  magnitude 30 at 90 ° 
D)  magnitude 40 at 90 °

Question 10

One method of adding two vectors that originate at the same point is the _____ method.

Accepted Answer

A)  parallelogram 
B)  trapezoid 
C)  rectangle 
D)  square 
A)  parallelogram 
B)  trapezoid 
C)  rectangle 
D)  square

Question 11

What is the approximate sum of the following two vectors: magnitude 23 at 62 ° and magnitude 17 at 10 ° ?

Accepted Answer

A)  magnitude 4 at 72 ° 
B)  magnitude 5 at 52 ° 
C)  magnitude 27 at 52 ° 
D)  magnitude 36 at 40 ° 
A)  magnitude 4 at 72 ° 
B)  magnitude 5 at 52 ° 
C)  magnitude 27 at 52 ° 
D)  magnitude 36 at 40 °

Question 12

The Pythagorean theorem is _____.

Accepted Answer

A)  c = a2 + b2 
B)  c2 = a2 + b2 
C)  2c = 2a + 2b 
D)  c2 = 2a + 2b 
A)  c = a2 + b2 
B)  c2 = a2 + b2 
C)  2c = 2a + 2b 
D)  c2 = 2a + 2b

Question 13

In a right triangle, the sum of the squares of two sides is equal to the square of the hypotenuse. This was discovered by a Greek named _____.

Accepted Answer

A)  Hypotenuse 
B)  Right 
C)  Pythagoras 
D)  Cosine 
A)  Hypotenuse 
B)  Right 
C)  Pythagoras 
D)  Cosine

Question 14

In a right triangle, the two non-right angles are each formed by the hypotenuse and one of the other sides. From the perspective of the angle, the side that is not the hypotenuse is called the _____.

Accepted Answer

A)  right side 
B)  nearest side 
C)  opposite side 
D)  adjacent side 
A)  right side 
B)  nearest side 
C)  opposite side 
D)  adjacent side

Question 15

The function that is equal to the adjacent divided by the hypotenuse is the _____.

Accepted Answer

A)  cosine 
B)  sine 
C)  tangent 
D)  cotangent 
A)  cosine 
B)  sine 
C)  tangent 
D)  cotangent

Question 16

A right angle is an angle of _____.

Accepted Answer

A)  less than 45 ° 
B)  45 ° 
C)  90 ° 
D)  greater than 90 ° 
A)  less than 45 ° 
B)  45 ° 
C)  90 ° 
D)  greater than 90 °

Question 17

What is the approximate sum of the following two vectors: magnitude 5 at 0 ° and magnitude 10 at 180 ° ?

Accepted Answer

A)  magnitude 5 at 90 ° 
B)  magnitude 5 at 180 ° 
C)  magnitude 15 at 90 ° 
D)  magnitude 15 at 180 ° 
A)  magnitude 5 at 90 ° 
B)  magnitude 5 at 180 ° 
C)  magnitude 15 at 90 ° 
D)  magnitude 15 at 180 °

Question 18

A right triangle has one side of 5 and another side of 4 (neither side is the hypotenuse). What is the angle adjacent to the side that is 5?

Accepted Answer

A)  10.87° 
B)  15.34° 
C)  18.13° 
D)  38.66° 
A)  10.87° 
B)  15.34° 
C)  18.13° 
D)  38.66°

Question 19

The side of a right triangle that is opposite the right angle is called the _____.

Accepted Answer

A)  hypotenuse 
B)  adjacent side 
C)  opposite side 
D)  right side 
A)  hypotenuse 
B)  adjacent side 
C)  opposite side 
D)  right side

Question 20

A right triangle has a hypotenuse of 10 ft. and one angle of 30°. How long is the side opposite the angle?

Accepted Answer

A)  5 ft. 
B)  8.67 ft. 
C)  20 ft. 
D)  50 ft. 
A)  5 ft. 
B)  8.67 ft. 
C)  20 ft. 
D)  50 ft.

Exam 15: Basic Trigonometry and Vectors

A right triangle has one angle that is 60°. The side adjacent to the 60° angle has a length of 7 inches. How long is the opposite side?

A triangle which contains one 90 ° angle is called a(n) _____ triangle.

A line that indicates both magnitude and direction is a _____.

Vectors must be added using _____ addition.

A right triangle has two sides that are 9 inches and 12 inches. How long is the hypotenuse?

In a right triangle, the longest side is called the _____.

The function that is equal to the opposite divided by the hypotenuse is the _____.

What is the approximate sum of the following two vectors: magnitude 10 at 120° and magnitude 15 at 90°?

What is the approximate sum of the following two vectors: magnitude 20 at 30 ° and magnitude 10 at 60°?

One method of adding two vectors that originate at the same point is the _____ method.

What is the approximate sum of the following two vectors: magnitude 23 at 62 ° and magnitude 17 at 10 ° ?

The Pythagorean theorem is _____.

In a right triangle, the sum of the squares of two sides is equal to the square of the hypotenuse. This was discovered by a Greek named _____.

In a right triangle, the two non-right angles are each formed by the hypotenuse and one of the other sides. From the perspective of the angle, the side that is not the hypotenuse is called the _____.

The function that is equal to the adjacent divided by the hypotenuse is the _____.

A right angle is an angle of _____.

What is the approximate sum of the following two vectors: magnitude 5 at 0 ° and magnitude 10 at 180 ° ?

A right triangle has one side of 5 and another side of 4 (neither side is the hypotenuse). What is the angle adjacent to the side that is 5?

The side of a right triangle that is opposite the right angle is called the _____.

A right triangle has a hypotenuse of 10 ft. and one angle of 30°. How long is the side opposite the angle?

Atomic Structure

Electrical Quantities and Ohms Law

Static Electricity

Magnetism

Resistors

Series Circuits

Parallel Circuits

Combination Circuits

Kirchhoffs Law, Thevenins and Nortons Theorems

Measuring Instruments

Using Wire Tables and Determining Conductor Sizes

Conduction in Liquids and Gases

Batteries and Other Sources of Electricity

Magnetic Induction

Alternating Current

Inductance in Alternating Current Circuits

Resistive-Inductive Series Circuits

Resistive-Inductive Parallel Circuits

Capacitors

Capacitance in Alternating Current Circuits

Resistive-Capacitive Series Circuits

Resistive-Capacitive Parallel Circuits

Resistive-Inductive-Capacitive Series Circuits

Resistive-Inductive-Capacitive Parallel Circuits

Filters

Three-Phase Circuits

Single-Phase Transformers

Three-Phase Transformers

Direct Current Generators

Direct Current Motors

Three-Phase Alternators

Three-Phase Motors

Single-Phase Motors

Harmonics

Filters