12/9 FLASHCARD

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 from an observer to an object above the horizontal line.

Front

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

Back

You can use the formula: height = distance * tan(angle of elevation).

Front

What is the tangent function in trigonometry?

Back

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

Front

If a yacht is 90 feet offshore and the angle of elevation to the lighthouse is 26 degrees, how do you calculate the height of the lighthouse?

Back

Use the formula: height = 90 * tan(26 degrees).

Front

What is the formula to solve for x in a right triangle?

Back

The formula depends on the given information, but commonly involves using sine, cosine, or tangent functions.

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 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 hypotenuse in a right triangle.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one. If it's less than 5, keep the tenths place the same.

Front

What is the relationship between angles in a right triangle?

Back

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

Front

How do you find the distance from a point to a vertical object using angles?

Back

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