Leap Practice Sat

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the line of sight when looking up from a horizontal line to an object above.

Front

How do you find the height of an object using trigonometric functions?

Back

You can use the tangent function, which is the ratio of the opposite side (height) to the adjacent side (distance from the object).

Front

What is the tangent function in trigonometry?

Back

The tangent function is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

If a tree is 10 ft tall and casts a shadow of 15 ft, what is the angle of elevation of the sun?

Back

34 degrees.

Front

Which trigonometric function would you use to find the height of a tree given the angle of elevation and distance?

Back

Tangent.

Front

What is the sine function in trigonometry?

Back

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function in trigonometry?

Back

The cosine function is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

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

Back

Height = Distance * tan(Angle of Elevation).

Front

If you are 10 feet away from a tree and looking up at an angle of 48 degrees, how do you find the height of the cat in the tree?

Back

Use the formula: Height = 10 * tan(48 degrees) = 11.1 ft.

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ).