Worded Problems Involving Solving Right Triangle

Front

What is the 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 level.

Front

How do you find the height of a tree using the angle of elevation?

Back

Use the formula: height = distance * tan(angle of elevation).

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

If a ladder is leaning against a wall, how can you find its length?

Back

Use the Pythagorean theorem: length of ladder = √(height² + distance from wall²).

Front

What is the formula for calculating the length of a diagonal in a rectangle?

Back

Diagonal length = √(length² + width²).

Front

How do you calculate the inclination of a trail?

Back

Inclination = arctan((change in elevation) / (horizontal distance)).

Front

What is the tangent function in trigonometry?

Back

Tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side (tan(θ) = opposite/adjacent).

Front

What is the sine function in trigonometry?

Back

Sine of an angle in a right triangle is the ratio of the opposite side to the hypotenuse (sin(θ) = opposite/hypotenuse).

Front

What is the cosine function in trigonometry?

Back

Cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse (cos(θ) = adjacent/hypotenuse).

Front

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

Back

Use trigonometric ratios (sine, cosine, tangent) or the Pythagorean theorem.