APL Jeopardy

Triangles

100

State the 3 different types of triangles and their differences.

Scalene- all sides are different, isosceles- two sides are the same length, equilateral- all sides are the same length.

200

How do you use the Pythagorean theorum to solve for the missing side of an equilateral triangle?

Sides A and B are the non hypotenuse side of a triangle, use the formula A^2+B^2= C^2.

300

How do you find the area of a right triangle?

Use the two non hypotenuse sides of the triangles divided by 2.

400

How do you find the length of a missing side of a triangle?

By finding the ratio of the given sides of the triangles.

500

A triangle has 2 sides that are 12.5 m in length with a third side of 20 m. Find the area of the triangle.

75 m2

Angles

100

Convert 46 degrees to radians using the equation, pi/180

23pi/90

200

Convert pi/12 from radians to degrees.

15 degrees

300

Find a coterminal angle for 60 degrees

420 degrees

400

Find a negative coterminal angle for 180 degrees

-180 degrees

500

In a right triangle where angle A is equal to 90 degrees find angles B and C so that sin(B)=cos(C)

B= 45

C=45

Determinination from a equation

100

y = 3 sin (3 x / 2 + π / 4)

determine the period

3 / 2

200

y = 2 sin (3 x - π / 4)

Determine the phase shift

1 unit to the right

300

Find the amplitude of y(t) = 0.5cos(t)

1/2

400

Find the period for F(t)=sin(x2−4)

4pi

500

Y=-3sin4(x-pi/6)+1

Find the horizontal shift

Pi/6 to the right

Trigonometric Formulas

100

Find the length of an arc of a circle with a radius of 3 and a central angle of pi/6.

Pi/2

200

What are the three basic formulas for a right triangle?

Sin= opposite/hypotenuse, cos= adjacent/hypotenuse, tan= opposite/adjacent

300

What is the value of sin(25pi/6)?

1/2

400

What is the exact value of cos(12pi/4)?

-1

500

Find the exact value of sin(11pi/2)

-1

Examples

100

Find the reciprocal formula of sin𝜃=1csc𝜃

csc𝜃=1sin𝜃

200

A right triangle has 2 sides with lengths of 12m and 7m. Find angle A. 

30 degrees

300

Find the arc length of a circle if the radius is 8m and the central angles is 40 degrees. Round to nearest tenth.

5.6 m

400

A man stands 100 meters from the base of a pole, his angle of elevation is 18 degrees. How tall is the pole?

32.5 meters

500

A flag pole of 6m in height casts a shadow that is 4m long on the ground. A clock tower casts a shadow that is 28m long. How tall is the clock tower.

42 meters