GRADE 10 MATH {Trigonometry}

How can you verify the correctness of your trigonometric calculations?

• By checking if the ratios and angles satisfy the fundamental trigonometric identities and the Pythagorean theorem.

• By using a calculator to compute the values directly.

• By comparing the results with those from a different mathematical field.

• By ensuring that all angles are acute.

How do you find the angle of elevation from a point to an object?

• angle = arctan(opposite/adjacent), where 'opposite' is the height of the object and 'adjacent' is the distance from the observer to the base of the object.

• angle = sin(opposite/hypotenuse), where 'opposite' is the height of the object and 'hypotenuse' is the distance from the observer to the object.

• angle = cos(adjacent/hypotenuse), where 'adjacent' is the distance from the observer to the base of the object and 'hypotenuse' is the distance from the observer to the object.

• angle = arccos(opposite/adjacent), where 'opposite' is the height of the object and 'adjacent' is the distance from the observer to the base of the object.

How do you calculate the height of an object using the angle of elevation?

• height = distance from the object * tan(angle of elevation)

• height = distance from the object / tan(angle of elevation)

• height = distance from the object + tan(angle of elevation)

• height = distance from the object - tan(angle of elevation)

What is the relationship between degrees and radians?

• Degrees and radians are the same unit of measurement.

• To convert degrees to radians, multiply by 180/π.

• To convert radians to degrees, multiply by π/180.

• To convert degrees to radians, multiply by π/180.

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 cosine rule in trigonometry?

• c² = a² + b² - 2ab*cos(C)

• c = a + b - C

• c² = a² + b² + 2ab*cos(C)

• c = a² + b² - C

What is the definition of trigonometry?

• A branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

• A field of study focused on the properties of circles and their dimensions.

• The study of geometric shapes and their properties in two-dimensional space.

• A mathematical discipline that deals with the calculation of areas and volumes of solids.

What is the tangent of an angle in a right triangle?

• The ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

• The ratio of the length of the adjacent side to the length of the opposite side: tan(θ) = adjacent/opposite.

• The sum of the lengths of the opposite and adjacent sides: tan(θ) = opposite + adjacent.

• The product of the lengths of the opposite and adjacent sides: tan(θ) = opposite * adjacent.

What is the formula for finding the length of a side in a right triangle using trigonometric ratios?

• side = hypotenuse * sin(angle)

• side = hypotenuse * cos(angle)

• side = hypotenuse * tan(angle)

• side = hypotenuse * trigonometric ratio (sin, cos, or tan) depending on the angle and the side you are solving for.

What is the definition of an angle of elevation?

• The angle formed by the horizontal line and the line of sight to an object above the horizontal line.

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

• The angle between two intersecting lines on a flat surface.

• The angle formed by the horizontal line and the line of sight to an object at the same level.