Sine and Cosine Application

Solve for the missing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

• Sine

• Cosine

• Tangent

What is the period of either graph? 
y = sin(x)      &   y = cos (x)

• π

• 2π

• π/2

• π/4 

What is trigonometry primarily concerned with?

• The study of planets

• Specific functions of angles and their application to calculations

• The history of mathematics

• The study of algebra

 Find side AB?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

What is the correct equation to solve for x?

• tan (45) = x/13

• cos (45) = x/13

• sin (45) = 13/x

• sin (45) = x/13

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

What is the length of the hypotenuse of a right triangle with legs of length 10 cm and 10√3 cm?

• 10 cm

• 10√3 cm

• 5 cm

• 20 cm

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches