Finding Missing Sides in Right Triangles

This video introduces trigonometry and its real-world applications, such as in navigation and surveying. It explains the basic trigonometric ratios: sine, cosine, and tangent, and how they relate to right triangles. The video demonstrates solving trigonometric problems using these ratios and provides a real-world example of measuring a tower's height using trigonometry.

What is a real-world application of trigonometry in aviation?

• Adjusting the flight path due to wind

• Calculating the best take-off angle

• Determining the fuel efficiency

• Choosing the type of aircraft

Which device is used by surveyors that involves trigonometry?

• Thermometer

• Barometer

• Clinometer

• Telescope

What is the purpose of using trigonometry in surveying?

• To calculate the height of structures

• To determine land boundaries

• To measure atmospheric pressure

• To assess water depths

How is trigonometry used in Google Maps?

• To display topographic data

• To estimate traffic speeds

• To determine the device's location based on satellite signals

• To calculate the shortest driving route

What does the sine ratio in trigonometry compare?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

In trigonometry, what does the cosine ratio involve?

• Hypotenuse over adjacent

• Adjacent over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

How do you calculate the height of an object using the tangent ratio?

• Tangent of the angle times the distance from the object

• Cosine of the angle times the distance from the object

• Sine of the angle divided by the distance from the object

• Tangent of the angle divided by the distance from the object

What is the first step in solving a triangle problem using sine?

• Determine the angle

• Find the opposite side

• Calculate the tangent

• Identify the hypotenuse

What method is used to solve for an unknown side in a triangle using cosine?

• Divide the adjacent by cosine of the angle

• Multiply the adjacent by cosine of the angle

• Multiply the hypotenuse by cosine of the angle

• Divide the hypotenuse by cosine of the angle

Which trigonometric function is used to find the height of a tower in the given example?

• Tangent

• Cotangent

• Cosine

• Sine