Trig Word Problems

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed between the horizontal line and the line of sight to an object above the horizontal level.

Front

How do you calculate the angle of elevation when given the height of an object and the distance from the object?

Back

You can use the tangent function: tan(angle) = opposite/adjacent, where 'opposite' is the height of the object and 'adjacent' is the distance from the object.

Front

What is the formula for finding the height of a building using the angle of elevation and distance?

Back

Height = Distance * tan(angle of elevation).

Front

In a right triangle, what do the terms 'opposite', 'adjacent', and 'hypotenuse' refer to?

Back

'Opposite' is the side opposite the angle of interest, 'adjacent' is the side next to the angle of interest, and 'hypotenuse' is the longest side opposite the right angle.

Front

What trigonometric function would you use to find the height of an object if you know the angle of elevation and the distance from the object?

Back

You would use the tangent function.

Front

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

Back

The sides of a right triangle are proportional to the sine, cosine, and tangent of its angles.

Front

How can you model a ladder leaning against a wall using a right triangle?

Back

The ladder forms the hypotenuse, the height of the wall is the opposite side, and the distance from the wall to the base of the ladder is the adjacent side.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle and is opposite the right angle.

Front

How do you determine the distance from a point to a vertical object using trigonometry?

Back

You can use the tangent function: Distance = Height / tan(angle of elevation).

Front

What is the purpose of using trigonometric ratios in real-world applications?

Back

Trigonometric ratios help solve problems involving angles and distances in various fields such as engineering, architecture, and navigation.