Exploring Trigonometric Ratios in Word Problems

What trigonometric function is used to find side lengths?

• Cosine

• Arc functions

• Tangent

• Sine

What is the purpose of inverse trigonometric functions?

• To find side lengths

• To calculate angles

• To determine the hypotenuse

• To measure the radius

What is the importance of drawing a correct diagram in solving trigonometry problems?

• It helps in visualizing the problem correctly

• It is not necessary

• It makes the problem more complex

• It is only for artistic purposes

Which trigonometric function is used to find the height a ladder reaches up a wall?

• Tangent

• Cosine

• Arc sine

• Sine

How do you calculate the distance from the base of the ladder to the wall?

• Sine of the angle

• Cosine of the angle

• Arc cosine

• Tangent of the angle

Why is it advised not to use an approximated value to find another value in trigonometry problems?

• It is required by trigonometric laws

• It simplifies the problem

• It is always exact

• It can lead to errors in calculation

What is the trigonometric function used to find the distance an observer is from a building?

• Arc tangent

• Tangent

• Cosine

• Sine

What is the angle of elevation from the observer to the top of the building?

• 41 degrees

• 60 degrees

• 63 degrees

• 29.6 degrees

How do you find the height of a telephone pole using trigonometry?

• Sine of the angle times distance

• Arc tangent of the angle

• Tangent of the angle times distance

• Cosine of the angle times distance

What is the correct way to calculate the length of the support cable?

• Distance divided by cosine of the angle

• Distance divided by sine of the angle

• Distance times tangent of the angle

• Distance times cosine of the angle