Applications of Sine and Cosine

Find h₂

• 16.73 ft

• 22.51 ft

• 18.59 ft

• 20.79 ft

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 23 feet

• 43 feet 

• 110 feet 

• 135 feet 

Kiara's yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet.Find the height of the lighthouse.

• 25 feet

• 45 feet

• 110 feet

• 135 feet

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft

• 11.3 ft

• 22.3 ft

• 49.1 ft

Find h₁

• 6.69 ft

• 11.11 ft

• 9.00 ft

• 7.43 ft

Which of the following is a real-world application of sine and cosine functions?

• Calculating interest rates

• Modeling sound waves

• Predicting stock prices

• Balancing chemical equations

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

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

• 24/32
• 32/24
• 32/40
• 24/40

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?

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75