Trig Applications

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 level.

Front

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

Back

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

Front

What trigonometric function is used to relate the angle of elevation to the height and distance?

Back

The tangent function (tan) is used, defined as tan(angle) = opposite/adjacent.

Front

If a tree's height is 15 ft and the angle of elevation is 32 degrees, how do you calculate the distance from the observer to the base of the tree?

Back

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

Front

What is the formula to calculate the length of a string when the height of an object and angle of elevation are known?

Back

Use the formula: length = height / sin(angle of elevation).

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.

Front

What is the relationship between the height of a lighthouse and the angle of elevation from a boat?

Back

The height can be found using the formula: height = distance * tan(angle of elevation).

Front

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

Back

Calculate height using: height = 90 * tan(26 degrees).

Front

What is the significance of the angle of elevation in real-life applications?

Back

It helps in determining heights of objects when direct measurement is not possible.

Front

How do you solve for a missing angle in a right triangle using trigonometric ratios?

Back

Use the inverse trigonometric functions: sin^(-1), cos^(-1), or tan^(-1) based on known sides.