Gr 10 Math Ch 4: Two Dimensional Problems

Which trigonometric ratio is defined as the ratio of the opposite side to the adjacent side?

Tangent (correct)

Secant

Sine

Cosine

What does the angle of elevation refer to?

The angle of a right triangle adjacent to the hypotenuse

The angle formed by the line of sight and the horizontal plane for an object above the horizontal plane (correct)

The angle formed by the line of sight and the horizontal plane for an object below the horizontal plane

The angle between two lines on a flat surface

Which of the following statements is true regarding angles of elevation and depression?

The angle of elevation is always greater than the angle of depression

The angle of depression affects only the adjacent side of a triangle

The angle of elevation is equal to the angle of depression from a corresponding point (correct)

The angles of elevation and depression cannot be the same

In two-dimensional trigonometry, which theorem is often used alongside trigonometric ratios?

The Pythagorean Theorem Signup and view all the answers

What is the sine of an angle $ heta$ defined as in a right triangle?

The ratio of the opposite side to the hypotenuse Signup and view all the answers

Which type of practical problems can trigonometry help solve besides right-angled triangles?

Construction and navigation problems Signup and view all the answers

What is the purpose of trigonometric ratios in the context of right-angled triangles?

To determine the lengths of the sides and angles Signup and view all the answers

How is the angle of depression defined?

The angle below the horizontal plane to an object Signup and view all the answers

If the angle of elevation from one point to an object is 30 degrees, what can be said about the angle of depression from the object to the same point?

It is equal to 30 degrees Signup and view all the answers

Which of the following statements accurately describes the sine function in a right triangle?

It is the ratio of the opposite side to the hypotenuse Signup and view all the answers

Which problem-solving application is NOT typically associated with trigonometry?

Converting angular measurements into linear measurements Signup and view all the answers

What is the cosine ratio defined as in a right triangle?

The ratio of the adjacent side to the hypotenuse Signup and view all the answers

Which statement about the practical applications of trigonometry is accurate?

Trigonometry is used for solving problems in building construction. Signup and view all the answers

What role does the theorem of Pythagoras play in solving two-dimensional problems?

It helps to determine the relationship between side lengths in right-angled triangles. Signup and view all the answers

Which of the following statements best describes the relationship between angles of elevation and depression?

The angle of elevation from one point is equal to the angle of depression from the same observation point. Signup and view all the answers

Which trigonometric ratio would you use to find the length of the opposite side given the angle and the hypotenuse in a right triangle?

Sine ratio Signup and view all the answers

In the context of right-angled triangles, how are the tangent and sine ratios related?

Tangent can be derived by dividing sine by cosine. Signup and view all the answers

Which of the following angles represents the angle of elevation when looking at an object located above a horizontal plane?

The angle of the line of sight with respect to the horizontal plane. Signup and view all the answers