Solving Word Problems Involving Right Triangles

Front

What is a right triangle?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What is the definition of angle of elevation?

Back

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

Front

How do you find the angle of elevation using trigonometry?

Back

You can find the angle of elevation using the tangent function: tan(θ) = opposite/adjacent.

Front

What is the formula to calculate the length of the hypotenuse in a right triangle?

Back

The length of the hypotenuse can be calculated using the Pythagorean theorem: c = √(a² + b²).

Front

What is the sine function in relation to a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

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

Back

Height can be calculated using the formula: height = distance * tan(angle of elevation).

Front

What is the relationship between the angle of elevation and the angle of depression?

Back

The angle of elevation from one point to an object is equal to the angle of depression from the object to the same point.