Pythagorean Theorem
Special Right Triangles
Trigonometric Ratios
Angle Measures and Sides
Angle of Elevation and Depression
100
What is the longest side in the right triangle?
Hypotenuse
100
How many types of special right triangles are there?
Two!
100
What are the main three trig functions?
Sine, Cosine, Tangent
100
What are the three sides of a triangle used to label a right triangle given an angle.
Opposite, Adjacent, and Hypotenuse
100
What is angle of elevation?
The angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation.
200
What is the Pythagorean Theorem?
a^2+b^2=c^2
200
What are the two types of special right triangles?
45-45-90
30-60-90
200
What are the reciprocal functions?
Cosecant, Secant, and Cotangent.
200
What mode to do we have to use in Desmos to calculate since we are using angles?
Degrees
200
What is angle of depression?
The angle of depression which is formed when an observer looks downwards.
300
Classify the triangle with side lengths of 5,2, and √41 as acute, right, or obtuse.
Obtuse
300
With a triangle that has 30-60-90 angles, what is the lengh of the short leg if the long leg is 7?
4.04
300
What are the trig ratios for sine, cosine, and tangent? How do we find them?
Sine: Opposite/Hypotenuse
Cosine: Adjacent/Hypotenuse
Tangent: Opposite/Adjacent
300
Given the triangle, what trig function would use to find the missing measure?
Sine
300
A ladder leaning against a building makes an angle of 65 degrees with the ground and reaches a point on the building 20 feet above the ground. What is the length of the ladder to the nearest foot?
22.1 ft
400
Solve for the missing information.
x = 10
400
Find the missing side lengths. Give your answer in simplest radical form.
a=4, b=2sqrt2
400
Find the trig ratios of sine, cosine, and tangent of Angle A of the given triangle.
Sin (A) = 16/34 = 8/17
Cos(A) = 30/34 = 15/17
Tan (A) = 16/30 = 8/15
400
Find the missing side given the triangle.
x = 21
400
An airplane climbs at an angle of 13 degrees with the ground. What is the distance it has traveled when it has attained an altitude of 400 feet?
1732.6 feet
500
Solve for the missing information.
x = 3sqrt3
500
Find the missing side lengths. Give your answer in simplest radical form.
x=21, y=7sqrt3
500
Find all six trig ratios of theta given the triangle.
500
Find the missing angle measure given the triangles.
x=74.2
500
The angle of depression of an object on the ground is 14 degrees from the top of the tallest building in the world, one of the Petronas towers in Malaysia, which is 1,483 feet high. What is the distance from the object to the base of the tower?
5,948 feet