Trigonometry Review

What is the definition of complementary angles?

• Two angles whose measures add up to 90 degrees.

• Two angles that are equal in measure.

• Two angles that add up to 180 degrees.

• Two angles that are adjacent to each other.

How do you find the height of a tree using shadows?

• By measuring the tree's circumference and using a formula.

• By using similar triangles to set up a proportion between the height of the tree and the length of its shadow compared to a known height and shadow length.

• By estimating the height based on the tree's age.

• By calculating the area of the shadow and applying geometric principles.

What does it mean for triangles to be similar?

• Triangles are similar if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.

• Triangles are similar if they have the same area, regardless of their angles.

• Triangles are similar if they have at least one angle that is equal.

• Triangles are similar if they are both equilateral.

What is the tangent function in a right triangle?

• The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

• The tangent of an angle is the ratio of the length of the adjacent side to the length of the opposite side.

• The tangent of an angle is the sum of the lengths of the opposite and adjacent sides.

• The tangent of an angle is the product of the lengths of the opposite and adjacent sides.

What is the definition of an angle of depression?

• An angle formed by the horizontal line and the line of sight to an object below the horizontal.

• An angle formed by two intersecting lines above the horizontal.

• An angle that measures the steepness of a slope.

• An angle that is always greater than 90 degrees.

What is the cosine function in a right triangle?

• The cosine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

• The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

• The cosine of an angle is the ratio of the length of the hypotenuse to the length of the adjacent side.

• The cosine of an angle is the ratio of the length of the hypotenuse to the length of the opposite side.

What is the sum of the angles in any triangle?

• 150 degrees

• 180 degrees

• 90 degrees

• 360 degrees

How do you determine the distance between two points using the Pythagorean theorem?

• distance = √((x2 - x1)² + (y2 - y1)²)

• distance = |x2 - x1| + |y2 - y1|

• distance = (x2 - x1) + (y2 - y1)

• distance = √((x2 + x1)² + (y2 + y1)²)

What is the Pythagorean theorem?

• In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

• The sum of the angles in a triangle is equal to 180 degrees.

• The area of a circle is calculated using the formula A = πr².

• In a right triangle, the length of the hypotenuse is always greater than the lengths of the other two sides.

What is the sine function in a right triangle?

• The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

• The sine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

• The sine of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

• The sine of an angle is the length of the hypotenuse divided by the length of the opposite side.