SOH-CAH-TOA
In a right triangle, which trig function compares opposite to hypotenuse?
What is sine?
A triangle has hypotenuse 10 and angle 30 degrees. Find the opposite side.
What is 5?
10 * sin (30)
What inverse trig function would you use to find the angle if you know opposite and adjacent sides?
What is inverse tangent?
or
What is inverse cotangent?
What is the coordinate pair for 0 degrees?
What is (1,0)?
What is tangent?
or
What is cotangent?
What is the inverse ratio to cosine?
What is cosecant?
A ladder is 15 ft long and makes a 60 degree angle with the ground. Find the height reached.
What is 13 ft?
Find the inverse sin of 0.5.
What is 30 degrees?
Find sin(90).
What is 1?
A shadow problem usually involves which trig function if you know height and shadow length?
What is tangent?
If opposite = 5 and adjacent = 12, find tan x.
What is 5/12?
A ramp make a 25 degree angle and extends 20 ft horizontally. Find the height.
20 * tan (25)
Find the inverse tangent of 1.
What is 45 degrees?
What angle is represented by the point (root2/2, root2/2)?
What is 45 degrees?
An airplane climbs at a 15 degree angle. Which trig function helps find altitude if distance traveled is known?
What is sine?
What is the ratio for cotangent?
What is adjacent over opposite?
Adjacent side = 9
Hypotenuse = 15
Find the opposite side.
What is 12?
A triangle has opposite = 7 and hypotenuse = 25. Find the angle.
What is 16 degrees?
What angle is the point (-1/2, root3/2)?
What is 120 degrees?
How long is the ladder?
What is 18.9 ft?
18/sin(72)
State what SOH-CAH-TOA stands for.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
A kite string is 50 m long and makes a 40 degree angle with the ground. Find the kite's height.
A drone rises 80 ft while traveling 120 ft horizontally. Find the angle of elevation.
What is 34 degrees?
Give the exact answer for cos(45).
What is root2/2?
A flagpole casts a 24 ft shadow. The angle of elevation to the top is 51 degrees. Find the height.
What is 29.6 ft?
24 * tan (51)