Angles of Elevation ET - Geo H

Front

What is the angle of elevation?

Back

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

Front

How do you calculate the angle of elevation using tangent?

Back

The angle of elevation can be calculated using the formula: tan(θ) = opposite/adjacent, where θ is the angle of elevation.

Front

What is the relationship between angles of elevation and depression?

Back

The angle of elevation from a point below an object is equal to the angle of depression from the object to that point.

Front

If a tourist is 130 feet away from a deer and is 45 feet high, how do you find the angle of elevation?

Back

Use the tangent function: tan(θ) = opposite (45 feet) / adjacent (130 feet). Calculate θ using the arctan function.

Front

What is the formula for finding the height of an object using the angle of elevation?

Back

Height = distance * tan(angle of elevation).

Front

What is the significance of rounding angles in elevation problems?

Back

Rounding angles to the nearest degree or tenth can simplify calculations and provide a more practical answer.

Front

How do you solve for a missing angle in a right triangle?

Back

Use the trigonometric ratios (sine, cosine, tangent) or the fact that the sum of angles in a triangle is 180 degrees.

Front

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

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the angle of elevation is 71 degrees, what is the height if the distance is 130 feet?

Back

Height = 130 * tan(71 degrees). Calculate to find the height.

Front

What is the purpose of using trigonometric ratios in elevation problems?

Back

Trigonometric ratios help relate angles to side lengths in right triangles, allowing for the calculation of unknown values.