Angles of Elevation and Depression

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

What is the angle of depression?

Back

The angle of depression is the angle formed by the horizontal line and the line of sight to an object below the horizontal line.

Front

How do you calculate the cosine of an angle in a right triangle?

Back

The cosine of an angle is calculated as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the relationship between angles of elevation and depression?

Back

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

Front

What is the formula to find the height of an object using the angle of elevation?

Back

Height = Distance * tan(Angle of Elevation).

Front

What is the significance of the 37-degree angle in trigonometry?

Back

It is often used in problems involving right triangles to find ratios of sides using trigonometric functions.

Front

How do you determine the missing angle in a right triangle?

Back

You can determine the missing angle by using the fact that the sum of angles in a triangle is 180 degrees, and in a right triangle, one angle is always 90 degrees.

Front

What is the purpose of using a ladder to reach a height in trigonometry problems?

Back

It helps to illustrate the application of angles of elevation and the use of trigonometric ratios to find unknown distances or angles.

Front

What does the notation ∠DAC represent?

Back

It represents the angle of depression from point A to point C.

Front

How do you find the angle of elevation when given the height and distance?

Back

Use the formula: Angle of Elevation = arctan(Height/Distance).