Trigonometric Ratios and Applications

This video tutorial by Amal Kumar explains when to use different trigonometric ratios to solve application problems. It covers the primary trigonometric ratios: sine, cosine, and tangent, and introduces the mnemonic 'SOHCAHTOA' to remember them. The video provides practical examples, such as calculating the height of a kite and determining the length of a ladder, to demonstrate the application of these ratios in real-world scenarios. The tutorial emphasizes the importance of understanding the relationship between angles and sides in right triangles to effectively use trigonometric ratios.

What is the primary use of trigonometric ratios?

• To calculate areas of circles

• To determine the volume of cubes

• To find angles and sides in right triangles

• To solve algebraic equations

Which mnemonic helps remember trigonometric ratios?

• PEMDAS

• BODMAS

• FOIL

• SOHCAHTOA

In a right triangle, what is the hypotenuse?

• The side adjacent to the right angle

• The shortest side

• The longest side

• The side opposite the right angle

If you know the angle of elevation and hypotenuse, which ratio helps find the height?

• Secant

• Cosine

• Tangent

• Sine

What is the height of a kite if the hypotenuse is 1000 meters and the angle of elevation is 50 degrees?

• 766 meters

• 642 meters

• 500 meters

• 1000 meters

Which trigonometric ratio is used to find the horizontal distance from a kite?

• Tangent

• Cosecant

• Cosine

• Sine

What is the horizontal distance if the hypotenuse is 1000 meters and the angle of elevation is 50 degrees?

• 642 meters

• 1000 meters

• 766 meters

• 500 meters

Which ratio is used to find the angle of inclination of a ladder leaning against a wall?

• Sine

• Cosine

• Cotangent

• Tangent

If a ladder reaches a height of 10 meters and is 2 meters away from the wall, what is the angle of inclination?

• 60 degrees

• 45 degrees

• 78.7 degrees

• 30 degrees

When solving application problems, which trigonometric ratios might you use?

• A combination of sine, cosine, and tangent

• Only tangent

• Only cosine

• Only sine