Geometry Extra CREDIT: Trigonometry

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

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 

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 

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9

What equation can be used to solve for x?

• Sin(40°)= x/40 
• Sin(40º)=x/19
• Cos(40º)=x/19
• Tan(40°)=19/x

Solve for the misssing distance

• 18.9
• 19.5
• 47
• 27.5

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9

Find the measurement of the missing side indicated

• 4.39
• 3.21
• 2.19
• 2.05

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x