Deck 15: Basic Trigonometry and Vectors

Question 1

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 _____.

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

Answer 1

C

Question 2

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

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

Answer 2

B

Question 3

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

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

Answer 3

D

Question 4

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

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

Question 5

Vectors must be added using _____ addition.

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

Question 6

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

Question 7

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 _____.

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

Question 8

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

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

Question 9

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

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

Question 10

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

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

Question 11

A right triangle has a hypotenuse of 87 and one side that is 44. How long is the other side?

A) 43
B) 75.05
C) 97.5
D) 131

Question 12

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

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

Question 13

In a right triangle, the side across from an angle (the side is not one of the two that make the angle) is called the _____.

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

Question 14

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?

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

Question 15

The Pythagorean theorem is _____.

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

Question 16

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

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

Question 17

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

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

Question 18

Which memory aid will help you remember the trigonometric function relationships?

A) Oscar had a pile of oranges
B) Oscar had a heap of oranges
C) Oscar had a pile of apples
D) Oscar had a heap of apples

Question 19

A right angle is an angle of _____.

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

Question 20

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

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

Question 21

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

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

Question 22

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

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

Question 23

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

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