Trig Word Problems

Front

What is the definition of 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 height of an object using the angle of elevation?

Back

Height = Distance * tan(Angle of Elevation).

Front

What is the tangent function in trigonometry?

Back

The tangent function (tan) is the ratio of the opposite side to the adjacent side in a right triangle.

Front

If a tree casts a shadow of 11.3 feet when the angle of elevation is 28 degrees, how do you find the height of the tree?

Back

Use the formula: Height = Shadow Length * tan(Angle of Elevation).

Front

What is the relationship between the height of an object and the angle of elevation?

Back

As the angle of elevation increases, the height of the object appears to increase when viewed from a fixed distance.

Front

What is the formula for finding the horizontal distance in a right triangle?

Back

Horizontal Distance = Hypotenuse * cos(Angle).

Front

How do you find the length of a shadow cast by an object?

Back

Length of Shadow = Height of Object / tan(Angle of Elevation).

Front

What is the sine function in trigonometry?

Back

The sine function (sin) is the ratio of the opposite side to the hypotenuse in a right triangle.

Front

What is the cosine function in trigonometry?

Back

The cosine function (cos) is the ratio of the adjacent side to the hypotenuse in a right triangle.

Front

If a power line is 100 ft long and the building is 50 ft tall, how do you find the horizontal distance from the building?

Back

Use the Pythagorean theorem: Horizontal Distance = sqrt(Hypotenuse^2 - Height^2).