Pythagorean Theorem
Special Right Triangles
Trig Ratios
Word problems
Inverse Trig
100
Determine the length of the missing side of the right triangle.
25 cm
100
If one leg of a 45-45-90 measures 10 inches, how long is the other leg?
10 inches
100
What is the tangent ratio?
24/7
100
The side opposite the right angle of a right triangle.
hypotenuse
100
If you are given the Hypotenuse and Opposite, which Trigonometric Identity do you use to find the angle?
Sine
200
If the hypotenuse of a right triangle =20 feet and a leg length =14 feet, determine the length of the other leg. Simplify the radical.
2√51 feet
200
What do you multiply the short leg by to get the hypotenuse in a 45-45-90 triangle?
*Hint*- draw a triangle and label the sides of a 45-45-90 triangle!
the √2
200
What is the sine ratio of angle C?
9/41
200
What is the only type of triangle you can use trig ratios with?
Right triangle
200
Using Trigonometry, If a triangle had an opposite length of 13m and an adjacent side of 12m, what is the angle?
47°
300
Find the missing side of this right triangle using Pythagorean Theorem. Simplify the radical.
2√13 cm
300
How do I find the missing hypotenuse of a 30-60-90 triangle if I know the short leg?
Multiply it by 2
300
What is the value of x?
x=43.8
300
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
300
45 degrees
400
A triangle has the following side lengths. Classify as acute, obtuse or right. Show your work.
14, 48, 50
Right
2500=2500
400
What is the length of c and d?
6√2 and 12
400
What trig ratio do you need to use to solve for BC? What is the length of BC?
Cosine
BC = 1.71
400
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
What is the value of ?
53 Degrees
500
A triangle has the following side lengths. Classify as acute, obtuse or right. Show your work.
\sqrt{67}, 4, 9
Acute
83>81
500
Find both missing sides in simplest radical form
\frac{8\sqrt{3}}{3}
\frac{16\sqrt{3}}{3}
500
What trig function would you need to use to find the value of x? What is the value of x?
Tangent Function
x=99.8
500
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
500
A person stands 78 ft from the base of a building. The building is 120 feet tall. What is the angle of elevation to the top of the building?
57 degrees