Exam 15: Basic Trigonometry and Vectors

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

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

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 .

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

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

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

The Pythagorean theorem is .

A line that indicates both magnitude and direction is a .

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

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 .

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

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

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

Vectors must be added using addition.

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 _____.

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

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

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

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?