Trig Practice: Right Triangles, Law of Sines and Cosines

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 90 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 55 feet 

• 35 feet 

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 10.6

• 16.0

• 14.8

• 13.6

Find AB

• 10.2

• 8.0

• 6.1

• 4.9

What is the measure of angle A?

• 58 degrees

• 63 degrees

• 78 degrees

• 84 degrees

Find angle Z

• 20.15°

• 71.23°

• 51.06°

• 57.71°

Find XZ

• 16.004 meters

• 54.165 meters

• 34.7 meters

• 124.165 meters