Deck 37: Trigonometric Functions

Question 1

Given a right triangle with sides a and b and hypotenuse c , if a = 17 cm and b = 9 cm, how many degrees are there in angle A to the nearer whole degree?

Answer 1

62

Question 2

Use the following illustration to answer questions 3 through 10. Given a right triangle with sides a and b and hypotenuse c , if a = 4 and c = 7, how many degrees are there in angle A to the nearer whole degree?

Answer 2

35

Question 3

Given a right triangle with sides a and b and hypotenuse c opposite angles A, B, and C, if -A = 36° , and b = 15.9 cm, what is the length of side a to the nearer hundredth centimeter if needed?

Answer 3

11.55 cm

Question 4

Given a right triangle with sides a and b and hypotenuse c opposite angles A, B, and C, if -A = 71° , and c = 30 cm, what is the length of side a to the nearer hundredth centimeter if needed?

Question 5

In a right triangle, the sine of an angle is equal to the adjacent side divided by the hypotenuse.

Question 6

Given a right triangle with sides a and b and hypotenuse c , if b = 9 and c = 15, how many degrees are there in angle A to the nearer whole degree?

Question 7

Given a right triangle with sides a and b and hypotenuse c opposite angles A, B, and C, if -A = 71° , and c = 30 cm, what is the length of side b to the nearer hundredth centimeter if needed?

Question 8

An oil burner nozzle is labeled 65° . This is the angle from straight ahead to the direction that the oil is sprayed. A piece of paper is placed 11 inches from the nozzle. How far away from the straight-ahead mark does the oil strike the paper? Round the answer to the nearer hundredth inch.

Question 9

A flue pipe joins the opening of an oil burner to the opening of a chimney. The chimney is 16 feet away from the oil burner. The opening on the chimney is 4 feet higher than the opening on the burner. Find to the nearer hundredth foot the length of the flue pipe between the chimney and the burner.

Question 10

The three relationships expressing the sides of a right triangle are sine, cosine, and tangent.