Definitions
Pythagorean Theorem
Solving for an angle
Trig Ratios
Mixed Topics
100
What is a triangle with a 90o angle in it called?
a right triangle
100
What is Pythagorean Theorem formula?
a^2 + b^2 = c^2
100
In a right triangle, one of the acute angles is 35o. Find the measure of the other acute angle.
180o - 90o - 35o =
55o
100
What is the sine of A?
3/5
100
What is the longest side of a right triangle called?
Hypotenuse
200
What do we call the type of trig functions we use to solve for angles?
INVERSE trig functions
200
Find the length of the missing side to the nearest tenth.
32 + 72 = c2
58 = c2
c = 7.6
200
Solve for the angle marked with the question mark. Round to the tenths place.
cos^(-1)(26/45)=54.7
200
What is the tangent of C?
4/3
200
One of the angles in a right triangle is 35 degrees. What is the measures of the other two angles?
90^o and 55^o
300
What is the name for the theorem that says all angles in a triangle add to 180o?
Triangle angle sum theorem
300
The hypotenuse of a triangle measures 7.1 and one side measures 4. What is the length of the other side to one decimal place?
a^2+4^2=7.1^2 => a=sqrt(7.1^2-4^2)
a approx5.9
300
Find the height of the water tower to the nearest tenth. INCLUDE UNITS.
tan (40) = x/150
150*tan (40) = 125.8649
H = 125.9 feet
300
Solve for x. Round to the hundredths.
17 * Tan(51)
x = 20.99
300
A car travels along a hill inclined at 10 degrees with the ground and travels 900 feet. What is the horizontal distance travelled by the car, to the nearest tenth of a foot?
cos 10 = x/900
x=886.3 ft.
400
Since a right triangle has one 90o angle, what type of angle do the other two angles have to be?
Acute
400
The length of two sides of a right triangle are 8. What is the measure of the hypotenuse to one decimal place?
c^2=8^2+8^2 => c=sqrt(128)
c approx 11.3
400
A ladder is leaning against a wall. The ladder is 10 feet long. If the base of the ladder is 2.5 feet from the wall. What is the angle that the ladder forms with the ground?
75.5o
400
Solve for x. Round to the hundredths.
x = 12.48
400
Using Trigonometry, calculate the Hypotenuse when the Opposite side = 8 and the angle = 56 degrees?
sin(56^o)=8/h => h=8/sin(56^o)
h approx 9.6
500
Name the 3 types of triangles according to the length of their sides
Equilateral, isosceles, and scalene
500
Would the measures 9, 12, and 15, create a right triangle? Show math to support your answer.
Yes because 92 + 122 = 152
500
A kite is flying at the end of a 60 foot string. The kite's vertical height above the ground is 18 feet. Find the angle that the kite's string would form with the ground. Round to the nearest tenth.
sin^(-1)(18/60)
17.5o
500
Find Sin(A)
By Pythagorean Theorem, the hypotenuse is 65
so Sin(A) = 33/65
500
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point to 2 decimal places?
c^2=21^2+18^2 => c=sqrt(21^2+18^2)
c approx 27.66 km