Trigonometric Word Problems

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

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

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle 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 trigonometry?

Back

Use the formula: height = hypotenuse * sin(angle).

Front

How do you find the distance to an object using trigonometry?

Back

Use the formula: distance = height / tan(angle).

Front

What is the relationship between the angles and sides in a right triangle?

Back

The sum of the angles in a triangle is 180 degrees, and in a right triangle, one angle is always 90 degrees.

Front

If a ladder makes a 60-degree angle with the ground and is 10 meters long, how high does it reach?

Back

5 * sqrt(3) meters.

Front

In a right triangle with a 30-degree angle and a hypotenuse of 10 cm, what is the length of the opposite side?

Back

5 cm.

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.

Front

If an airplane is at an altitude of 8000 meters and the angle of elevation is 45 degrees, how far is it from the observer?

Back

11,313.71 meters.