Basic Trig Knowledge
What mnemonic device do we use to help us remember our trig ratios?
SOH-CAH-TOA
Find sin(A)
5/13
Find x in Triangle 1 using trig ratios. Rounded to the nearest tenth.
7.1
Find <A in Triangle 5. Round to the nearest tenth
31.5
(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
What ratio represents sine? (Answer in terms of opposite, adjacent, and hypotenuse)
opposite / hypotenuse
Find cos(C)
5/13
Find y in Triangle 2.
5
Find <C in Triangle 6 using inverse trig ratios. Round to the nearest tenth.
59.7
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
What ratio represents cosine? (Answer in terms of opposite, adjacent, and hypotenuse)
adjacent / hypotenuse
Find tan(A)
5/12
Find x in Triangle 3 using trig ratios. Round to nearest tenth
If the side length of a right triangle are 1,1,radical 2, what is the measure of each acute angle?
(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
What ratio represents tangent? (Answer in terms of opposite, adjacent, and hypotenuse)
Find sin(C)
12/13
Find y in Triangle 4 using trig ratios. Round to nearest tenth.
8
Find <K in Triangle 7 using inverse trig ratios. Round to the nearest tenth.
33.6
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
Simplify the following radicals into simplest radical form. Radical 148
2 radical 37
Find tan(C)
12/5
If a right triangle has a hypotenuse of 15 and a leg of 12 what is the length of the other leg?
9
Find <S in Triangle 8 using inverse trig ratios. Round to the nearest tenth.
28.1
(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!)