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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• 20.15°

• 71.23°

• 51.06°

• 57.71°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle x? 

• 73.74 degrees

• 16.26 degrees

• 148 degrees

• 180 degrees

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Tags

CCSS.HSG.SRT.C.6

Which is the correct set up to solve for x?

• sin 24 = x / 12

• cos 24 = x / 12

• tan 24 = x / 12

Tags

CCSS.HSG.SRT.C.6

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

Tags

CCSS.HSG.SRT.C.8

What would you use to solve for a?

• sin

• cos

• tan

• Pythagorean theorem

Tags

CCSS.HSG.SRT.C.6

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

• 40.4

• 43.4

• 48.2

• 41.3

Tags

CCSS.HSG.SRT.C.8

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

• 30.8

• 32.1

• 34.3

• 36.9

Tags

CCSS.HSG.SRT.C.8