Solving Triangles Using Trigonometric Equations

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches 

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 tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Find the measure of the missing angle.

• 49^o

• 50^o

• 41^o

• 33^o

What method should be used to solve this triangle?

• Pythagorean Theorem

• Triangle Sum Theorem

• Trigonometry

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75

Solve for x. Round to nearest thousandth.

Mathematical Equivalence

ON

Find the value of side c if <B =24 ^o and a = 8

• 3.6

• 7.3

• 8.8

• 9.4

Find the value of side a given <A = 19^o and b = 4

• 1.4

• 11.6

• 3.8

• 4.2

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