Deck 15: Basic Trigonometry and Vectors

Question 1

The Pythagorean theorem is .

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

Answer 1

B

Question 2

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

Answer 2

B

Question 3

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.

Answer 3

A

Question 4

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 5

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 6

A line that indicates both magnitude and direction is a .

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

Question 7

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

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

Question 8

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

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

Question 9

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 10

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 11

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

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

Question 12

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 13

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 14

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 15

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 16

A right angle is an angle of .

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°?

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

Question 18

Vectors must be added using addition.

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

Question 19

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

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

Question 20

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

Question 21

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°

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

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

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