Trigonometry and Vector Components

The video tutorial explains how to solve a problem involving Bernard walking 50 meters at an angle of 48 degrees south of west. It covers the calculation of horizontal and vertical components using trigonometric functions. The angle Theta is determined by adding 180 degrees to 48 degrees, resulting in 228 degrees. The horizontal component is calculated using the cosine of 228 degrees, yielding -11.62 meters, while the vertical component is found using the sine of 228 degrees, resulting in 48.63 meters.

What is the initial distance Bernard walks?

• 90 meters

• 70 meters

• 30 meters

• 50 meters

In which direction does Bernard start his walk?

• South of West

• North of East

• West of South

• East of North

What is the angle of Bernard's walk relative to the east?

• 180 degrees

• 228 degrees

• 90 degrees

• 48 degrees

How is the angle of 228 degrees derived?

• By subtracting 90 degrees from 180 degrees

• By adding 180 degrees to 48 degrees

• By subtracting 48 degrees from 180 degrees

• By adding 90 degrees to 48 degrees

Which trigonometric function is used to find the horizontal component?

• Secant

• Sine

• Tangent

• Cosine

What is the value of the horizontal component of Bernard's walk?

• 11.62 meters

• -11.62 meters

• 48.63 meters

• -48.63 meters

Which trigonometric function is used to find the vertical component?

• Cotangent

• Tangent

• Cosine

• Sine

What is the value of the vertical component of Bernard's walk?

• 11.62 meters

• -11.62 meters

• 48.63 meters

• -48.63 meters

What is the significance of the negative sign in the horizontal component?

• It indicates a direction opposite to the west.

• It indicates a direction opposite to the south.

• It indicates a direction opposite to the north.

• It indicates a direction opposite to the east.

What is the total angle from east to Bernard's direction?

• 90 degrees

• 180 degrees

• 228 degrees

• 48 degrees