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 = distance * tan(angle) + observer's height.

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides.

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

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

Back

Height = distance * tan(angle) + observer's height.

Front

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

Back

5 cm.

Front

What is the angle of elevation?

Back

The angle formed by the line of sight above the horizontal when looking at an object.

Front

If a boat is 100 meters away from a lighthouse and the angle of elevation is 45 degrees, how tall is the lighthouse?

Back

100 meters.