Adv. Geo Ch 5 Flashcard Review

Front

What is the formula to find the angle of elevation in a right triangle?

Back

The angle of elevation can be found using the formula: θ = tan⁻¹(opposite/adjacent).

Front

What is the sine function in trigonometry?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

How do you find the value of x in a right triangle when given the lengths of the sides?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the value of sin(30 degrees)?

Back

sin(30 degrees) = 1/2.

Front

What is the value of cos(60 degrees)?

Back

cos(60 degrees) = 1/2.

Front

What is the tangent function in trigonometry?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

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

Back

Height = distance * tan(angle of elevation).

Front

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

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Front

What is the formula for finding the hypotenuse in a right triangle?

Back

Hypotenuse = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is the value of tan(45 degrees)?

Back

tan(45 degrees) = 1.