In a right triangle, the angle opposite the hypotenuse is called the:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the:

The sine of an angle is defined as the ratio of the:

The cosine of an angle is defined as the ratio of the:

The tangent of an angle is defined as the ratio of the:

Trigonometry is commonly used in:

In navigation, trigonometry is used to:

In surveying, trigonometry is used to:

In astronomy, trigonometry is used to:

A surveyor measures the angle of elevation to the top of a building to be 30 degrees. If the distance from the surveyor to the base of the building is 100 meters, what is the height of the building?

A ship is sailing at a speed of 15 knots (nautical miles per hour). If the ship changes course by 45 degrees, what is the new direction of travel?

A pilot is flying an airplane at an altitude of 30,000 feet. If the pilot wants to descend to an altitude of 20,000 feet while maintaining a constant angle of descent of 10 degrees, what is the horizontal distance traveled by the airplane?

A radio tower is 100 meters tall. If the angle of elevation from a point on the ground to the top of the tower is 30 degrees, what is the horizontal distance between the point and the base of the tower?

A Ferris wheel has a diameter of 50 meters. If a passenger is at the highest point of the wheel, what is the angle between the horizontal and the line connecting the passenger to the center of the wheel?

A kite is flying at a height of 100 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, what is the horizontal distance between the point and the base of the kite?