Trigonometric 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

In a right triangle, what is the relationship between the angles and the sides?

Back

In a right triangle, the side opposite an acute angle is proportional to the length of the hypotenuse multiplied by the sine of that angle.

Front

What is the sine function in trigonometry?

Back

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

Front

What is the cosine function in trigonometry?

Back

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

Front

What is the tangent function in trigonometry?

Back

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

Front

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

Back

To find the height, use the formula: height = distance * tan(angle of elevation).

Front

If the hypotenuse of a right triangle is 10 cm and one angle is 30 degrees, what is the length of the opposite side?

Back

The length of the opposite side is 5 cm.

Front

What is the formula to calculate the height of a kite using the angle of elevation?

Back

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

Front

How do you calculate the height of a tree using the angle of elevation and distance from the tree?

Back

Height of the tree = distance from the tree * tan(angle of elevation) + observer's height.

Front

What is the height of a ramp inclined at 20 degrees and 5 meters long?

Back

The height of the ramp is approximately 1.71 meters.