Right Triangle Trig
Law of Sines
Law of Cosines
Story Problems
Random
100
Solve for a using trigonometry.
a = 34.6 cm
100
Solve for x using the law of sines.
x = 16.9 cm
100
Solve for x using the law of cosines.
x = 341 cm
100
A cargo company needs to load truck trailers into ship cargo containers. The trucks must drive up a ramp to a loading platform 30 feet off the ground, but they have difficulty driving up a ramp at an angle steeper than 20°. How long does the ramp need to be?
The ramp must be at least 87.7 feet long.
100
The angle of elevation has the same measure as what?
The angle of depression.
200
Solve for b using trig.
b = 15.4 cm
200
Solve for w using the law of sines.
w = 34.9 cm
200
Solve for w using the law of cosines.
w = 32.3 cm
200
The angle of elevation from a ship to the top of a 42-meter lighthouse on the shore measures 33°. How far is the ship from the shore?
The ship is around 64.7 meters away.
200
What is the acronym for right triangle trig?
SOHCAHTOA
300
Solve for d using trig.
d = 39.9 degrees
300
Solve for y using the law of sines.
y = 30 cm
300
Solve for y using the law of cosines.
y = 47.2 cm
300
Ben is flying a kite directly over his buddy Franklin, who is 125 meters away. His kite string makes a 39° angle with the level ground. How high is the kite?
About 101.2 meters high.
300
What is the law of sines?
sinA/a = sinB/b = sinC/c
400
Solve for f using trig.
f = 33 degrees.
400
Solve for A using the law of sines.
A = 56.2 degrees.
400
Solve for C using the law of cosines.
c = 84.9 degrees
400
Mr. Jaime is looking to run a string of flags from the top of the soccer field lights to the ground below in celebration of the first soccer game of the season next year. If the string of flags are 100 feet long and are attached to the ground at a 36° angle, how tall are the field lights?
The field lights are 58.8 feet tall.
400
What is the law of cosines? (for side b)
b2=a2+c2-2acCosB