Solving Right Triangle
Misc
trig not on the Unit Circle
Unit Cirlce
misc trivia
100

solve for x

cos(32)=x/72

x=61.06

100
Find the coterminal angles for 253º

-107º and 613º

100

Solve for theta

sin(theta)=5/7

theta=45.58º

100

Find (X,Y) on the unit circle for the angle 225*

(-√2 / 2 , -√2 / 2)

100

What is the smallest bone in the human body?

the stapes

200

Find all angles for a triangle with side lengths 5, 9, and sqrt(106)

60.95°, 29.05°, 90º

200

convert -34π/6 to degrees

π=pie

-300º

200

If theta = 58º find all six trig functions 


  1. cos(58)=.529

  2. sin(58)=.848

  3. tan(58)=1.6003

  4. sec(58)=1.8871

  5. csc(58)=1.1792

  6. cot(58)=.62487

200

What are reference angles for 75*

105*, 255*, 285*

200

Which state produces nearly half of America's rice?

Arkansas

300
Find the Shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58º

x=6.25 ft

300

A car is 75 miles South, and 57 miles West from a house. What bearing is needed to drive back to the house in the most direct route?

E52.76ºS

300

If the complementary angle to theta is 37º find all six trig functions of theta 


  1. cos(53)=.601812

  2. sin(53)=.79864

  3. tan(53)= 1.327

  4. sec (53)= 1.661

  5. csc(53) =1.25214

  6. cot(53)=.75355

300

Find the exact value for tan ( -420)

(-√3 / 2) / ½ = -√3

300

how many trees are there on earth?

3 trillion

400

A diver stands on a diving board above 2 swimmers. The angle of depression from each swimmer to the diver is 30º and 45º. If the swimmers are 6 feet apart, how high is the diving board?

x=8.19ft

400

City 1: Lat = 30.1575º    Long = 71.5249º

City 2: Lat = 30.1798º     Long = 66.9750º

Assuming earth’s radius is 3,960 miles, calculate the distance between the city Multan and Quetta. (known distance = 394.57 miles

271.871 miles

400

csc[tan-1(-2/7)] = ?

-3.6401

400

Solve for theta if the coordinates of its terminal side passes through (-1/2 , √3/2)

120º

400

what are the folds of skin on a cat's ears called?

Henry's pockets or cutaneous marginal pouches

500
How many earths could fit inside the sun?


1.3 million

500

Where were the Declaration of Independence, the Constitution, and the Bill of Rights stored during World War II?

Fort Knox

500

Which country consumes the most chocolate per capita?

Switzerland

500

What was the first toy to be advertised on tv?

Mr.Potato Head

500

what is the space between windows called?

inter-fenestration 

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