Trigonometry Board Questions Solved with Explanation

The video tutorial covers two trigonometry problems. The first problem involves finding the sun's altitude using the height of a tower and its shadow. The second problem calculates the speed of an aeroplane based on changes in its angle of elevation over time. Both problems are solved using trigonometric ratios, specifically the tangent function, and emphasize the importance of drawing diagrams and understanding the relationships between angles and sides in right triangles.

What is the angle of elevation in trigonometry?

• The angle between two vertical lines.

• The angle between two horizontal lines.

• The angle between the vertical and a line of sight to an object below the horizontal.

• The angle between the horizontal and a line of sight to an object above the horizontal.

Which trigonometric ratio is used to find the sun's altitude in the given problem?

• Sine

• Cosine

• Tangent

• Cotangent

What is the sun's altitude if the tangent of the angle is 1/√3?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

What is the initial angle of elevation of the airplane from point A?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

How long does it take for the angle of elevation to change from 60 degrees to 30 degrees?

• 20 seconds

• 10 seconds

• 25 seconds

• 15 seconds

What is the constant height at which the airplane is flying?

• 1500 meters

• 3000√3 meters

• 3000 meters

• 1500√3 meters

What is the speed of the airplane in kilometers per hour?

• 900 km/h

• 600 km/h

• 800 km/h

• 720 km/h