Solving for Sides in Trigonometry

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Find the length of side w.

• 21.4 cm

• 18.0 cm

• 36.5 cm

• 43.6 cm

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 the length of side W?
sin 68 = 70/w

• 186.86 m

• 75.50 m

• 28.28 m

• .01 m

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

What is the value of c in the triangle?

Mathematical Equivalence

OFF

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75

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 

Solve for the misssing distance

• 18.9

• 19.5

• 47

• 27.5

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4