Right Triangle Trig Game (Stiles)

Front

What is the height of the lighthouse if a yacht is 90 feet offshore and the angle of elevation to the top is 26 degrees?

Back

The height of the lighthouse is approximately 45 feet.

Front

In a right triangle, which side is opposite to angle C if AB is the hypotenuse?

Back

AB is the hypotenuse, and the side opposite angle C is called the opposite side.

Front

Solve for x: If the angle of elevation is 54.1 degrees, what is the value of x?

Back

x = 54.1.

Front

What is the side opposite the right angle in a right triangle?

Back

The side opposite the right angle is called the hypotenuse.

Front

Solve for x and y in a right triangle where y = 4 and x = 4√3.

Back

y = 4, x = 4√3.

Front

What is the definition of 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 hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Front

If the length of one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 5 (using the Pythagorean theorem: 3² + 4² = 5²).

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.