Applications of Trigonometry

10 cm

10√3 cm

5 cm

20 cm

• 10 cm

• 10√3 cm

• 5 cm

• 20 cm

Which trigonometric ratio should you use?

• Tangent Ratio

• Sine Ratio

• Cosine Ratio

• Any ratio

The height of a water wave is given by the equation h(t) = 10sin(2πt), where t represents time in seconds. What is the amplitude of the wave?

• 2π

• 10

• 20

• π

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

Solve for the missing angle

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

• sine

• cosine

• tangent

• trigonometry

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

• Sine

• Cosine

• Tangent

Which scenario describes the picture shown?

• 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?

• 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?

• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?

• 5 foot man is 8 feet away from a building.  What is the angle of elevation?

Name two real-world applications of trigonometry.