What is the angle of elevation?

The angle of elevation is the angle formed by the line of sight when looking up from a horizontal line to an object above.

What is the angle of depression?

The angle of depression is the angle formed by the line of sight when looking down from a horizontal line to an object below.

How do you calculate the distance to an object using angles?

Use trigonometric ratios: For example, if you know the angle of elevation and the height, use $$\text{distance} = \frac{\text{height}}{\text{tan}(\theta)}$$ .

What is the relationship between the sides of a 30-60-90 triangle?

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : $$\frac{\text{sqrt}(3)}{2} : 2$$ .

What is the relationship between the sides of a 45-45-90 triangle?

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is $$\text{leg} \times \text{sqrt}(2)$$ .

How do you solve for an unknown side in a right triangle?

Use the Pythagorean theorem or trigonometric ratios (sine, cosine, tangent) depending on the known values.

What is the significance of the angle in solving right triangles?

The angle helps determine which trigonometric function to use and which sides of the triangle are relevant for calculations.

How can you apply trigonometry to real-world problems?

Trigonometry can be used in various fields such as architecture, engineering, and navigation to solve problems involving angles and distances.

Solving Right Triangles Using Trig Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the sine function in a right triangle?

Back

4.

FLASHCARD QUESTION

Front

What is the cosine function in a right triangle?

Back

5.

FLASHCARD QUESTION

Front

What is the tangent function in a right triangle?

Back

6.

FLASHCARD QUESTION

Front

How do you find the height of a triangle using trigonometry?

Back

7.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse using trigonometry?

Back

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