How do you solve for x in the equation $$\tan75°=\frac{48}{x}$$ ?

Rearrange to find x: x = $$\frac{48}{\tan(75°)}$$ .

What is the approximate height of a tree if the angle of elevation is 57 degrees and the distance from the base is 50 feet?

The height is approximately 77 feet.

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

The tangent function relates the opposite side to the adjacent side.

What is the opposite side in relation to angle theta in a right triangle?

The side opposite to angle theta.

What is the adjacent side in relation to angle theta in a right triangle?

The side next to angle theta that is not the hypotenuse.

What is the hypotenuse in a right triangle?

The longest side of the triangle, opposite the right angle.

How do you round a number to the nearest tenth?

Look at the hundredths place; if it's 5 or more, round up.

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

To find unknown lengths or angles in right triangles.

What is the significance of the angle of elevation in trigonometry?

It helps determine the height of an object from a certain distance.

Chapter 4 Flashcard Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the tangent ratio?

Back

2.

FLASHCARD QUESTION

Front

Which equation shows the proper setup for finding the tangent of an angle?

Back

3.

FLASHCARD QUESTION

Front

How do you estimate the height of an object using angles?

Back

4.

FLASHCARD QUESTION

Front

What is the formula to find the height of an object using the angle of elevation?

Back

5.

FLASHCARD QUESTION

Front

If a bird watcher is 50 feet from a tree and sees an eagle at an angle of elevation of 57 degrees, how do you find the height of the eagle?

Back

6.

FLASHCARD QUESTION

Front

Back

Approximately 3.732.

7.

FLASHCARD QUESTION

Front

Back

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