Solving Missing Sides of Triangle Using Trig Functions

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

Using Law of Cosines, find the measure of angle Z.

• 20.15°

• 71.23°

• 51.06°

• 57.71°

What is the measure of angle x? 

• 73.74 degrees

• 16.26 degrees

• 148 degrees

• 180 degrees

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

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Which is the correct set up to solve for x?

• sin 24 = x / 12

• cos 24 = x / 12

• tan 24 = x / 12

What is the correct equation to solve for x ?

• tan( 46 ) = 17/x

• sin ( 46 ) = x/17

• tan (46 ) = x/17

• cos (46) = x/17

What would you use to solve for a?

• sin

• cos

• tan

• Pythagorean theorem

Find the measure of the angle.  Round to the nearest tenth. 

• 40.4

• 43.4

• 48.2

• 41.3

Find the measure of the angle.  Round to the nearest tenth. 

• 30.8

• 32.1

• 34.3

• 36.9