Week 1 Trig Review (Geometry)

Basic Trig Knowledge

100

What mnemonic device do we use to help us remember our trig ratios?

SOH-CAH-TOA

200

What ratio represents sine?  (Answer in terms of opposite, adjacent, and hypotenuse)

opposite / hypotenuse

300

What ratio represents cosine?  (Answer in terms of opposite, adjacent, and hypotenuse)

adjacent / hypotenuse

400

What ratio represents tangent?  (Answer in terms of opposite, adjacent, and hypotenuse)

opposite / adjacent

500

Simplify the following radicals into simplest radical form. Radical 148

2 radical 37

Finding Trig Ratios

100

Find sin(A)

5/13

200

Find cos(C)

5/13

300

Find tan(A)

5/12

400

Find sin(C)

12/13

500

Find tan(C)

12/5

Finding Missing Sides

100

Find x in Triangle 1 using trig ratios.  Rounded to the nearest tenth.

7.1

200

Find y in Triangle 2.  

5

300

Find x in Triangle 3 using trig ratios.  Round to nearest tenth

9.5

400

Find y in Triangle 4 using trig ratios.  Round to nearest tenth.

8

500

If a right triangle has a hypotenuse of 15 and a leg of 12 what is the length of the other leg?

9

Finding Missing Angles

100

Find <A in Triangle 5. Round to the nearest tenth

31.5

200

Find <C in Triangle 6 using inverse trig ratios.  Round to the nearest tenth.

59.7

300

If the side length of a right triangle are 1,1,radical 2, what is the measure of each acute angle?

45 degrees

400

Find <K in Triangle 7 using inverse trig ratios.  Round to the nearest tenth.

33.6

500

Find <S in Triangle 8 using inverse trig ratios.  Round to the nearest tenth.

28.1

Word Problems

100

(Diagram 1)  An airplane has climbed at an angle of 23 degrees.  Find the horizontal distance it has traveled when it reaches 1200 meters in altitude.  

2827 meters

200

A 12 ft ladder leans against the wall of a shed and makes a 63.25 degree angle with the ground. Find, to the nearest tenth of a foot, the distance from the wall to the base of the ladder.  

5.4 feet

300

(Diagram 2)  A person is standing 30 feet from the base of a building that is 50 feet tall.  At what angle must they look up to see the top of the building?

59 degrees

400

A light fixed to the ground is placed to shine on a statue. If the light is 20 ft away and the statue is 15ft tall, what is the angle of appreciation the light must be to shine on the whole statue?

36.9 degrees

500

(Diagram 3)  A kite is at a vertical height of 100 feet.  The person flying the kite has let out 200 feet of string.  Calculate the angle at which the kite is flying.  

30 degrees (Special Triangle!)