Angle 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 level.

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 level.

Front

How do you calculate the height of an object using the angle of elevation?

Back

Height = Distance from the object * tan(angle of elevation).

Front

How do you calculate the distance to an object using the angle of depression?

Back

Distance = Height / tan(angle of depression).

Front

What is the relationship between the angle of elevation and the angle of depression?

Back

The angle of elevation from one point is equal to the angle of depression from another point at the same horizontal level.

Front

If the angle of elevation is 53° and the distance from the base is 12 ft, how tall is the flagpole?

Back

Height = 12 * tan(53°) ≈ 15.9 ft.

Front

If a kite is flying at an angle of elevation of 70° with 65 m of string, how high is the kite?

Back

Height = 65 * sin(70°) ≈ 61 m.

Front

What is the formula for finding the height of a kite when the length of the string and angle of elevation are known?

Back

Height = Length of string * sin(angle of elevation).

Front

In a right triangle, if one leg is twice the length of the other, how can you express the sides?

Back

Let the shorter leg be x, then the longer leg is 2x. The hypotenuse can be found using the Pythagorean theorem.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the legs.