Unit 6abc Flashcard

Front

What is the ratio of sides in a right triangle for tan H?

Back

The ratio is \( \frac{6}{8} \) or \( \frac{3}{4} \).

Front

How do you find the value of x in the equation \( \cos 55 = \frac{x}{37} \)?

Back

Multiply both sides by 37: \( x = 37 \cdot \cos 55 \approx 21.22 \).

Front

Which theorem is used to relate the sides of a right triangle?

Back

The Pythagorean theorem states that \( a^2 + b^2 = c^2 \), where c is the hypotenuse.

Front

What is the formula to find the distance between the base of a ladder and the wall using cosine?

Back

Use the equation \( \cos 65 = \frac{x}{10} \) to find x.

Front

What is the measure of angle x if it is given as 47 degrees?

Back

Angle x = 47 degrees.

Front

What is the definition of sine in a right triangle?

Back

Sine is the ratio of the length of the opposite side to the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine is the ratio of the length of the adjacent side to the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent is the ratio of the length of the opposite side to the adjacent side.

Front

How do you calculate the hypotenuse using the Pythagorean theorem?

Back

If a and b are the legs, then \( c = \sqrt{a^2 + b^2} \).

Front

What is the relationship between sine, cosine, and tangent?

Back

\( \tan \theta = \frac{\sin \theta}{\cos \theta} \).