Which Ratio?
Pythagorean theorem
Trig
Inverse Trig
Word Problems:Elevation/Depression
100
Use it when you know the length of the hypotenuse and the adjacent leg.
Cosine
100
When using the Pythagorean Theorem, the letter C represents what side?
What is the Hypotenuse?
100
These are the types of triangles that trig functions work with. "What are ________ triangles"
What are right triangles
100
This is the key we need to hit first on the calculator to get an inverse trig ratio.
FUNC
(function)
100
A 35 foot ladder leans against a building with an angle of elevation of 20 degrees. How tall is the building?
What is 12 ft?
200
Use it when you know the hypotenuse and the opposite leg.
Sine
200
When using the Pythagorean Theorem, what is the formula to calculate side c?
200
Calculate the value of sin 26 degrees
Sin 26 = 0.4384
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55.2
200
The distance above sea level after a plane ascends at a 3 degree angle for 60 ground miles.
What is 3.14 mi?
300
Use it when you know the two legs.
Tangent
300
Calculate the length of the hypotenuse:
26
300
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.8
300
In right triangle
CAB, m∠A=90°. Determine m∠B nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72.26
300
The angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
What is 22.7 m?
400
What is the tan(α )?
alpha
Tan=8/15
400
Calculate for X
23.24
400
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 Tan 54 = x
x = 6.9m
400
What is the measure of angle t?
16 degrees
400
The angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards.
What is 5.3 degrees?
500
What is the Sin(t)
Sinet=7/25
500
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point?
27.66 km
500
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 Sin 28 = x
x = 23.5m
500
What is 19 feet
500
The length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.
What is 2663 ft?