Angles of Depression and Elevation

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 

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? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

If you are given the angle and adjacent side, and you are looking for the opposite side, which trig function should you use?

• sin
• cos
• tan

We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Solve for the misssing distance

• 18.9
• 19.5
• 47
• 27.5

Which scenario describes the picture shown?

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

Solve for the missing angle.

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees

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

• 63.6 ft
• 1.59 ft
• 74.2 ft
• 86.9 ft

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine
• cosine
• tangent
• inverse sine