Complementary and Supplementary Angles
The angles x and y are said to be complementary only if x + y is equal to
90 Degrees
You have a right triangle with the legs measuring 3 and 4 feet long, how long is the hypotenuse
5 Feet
What are our two types of special right triangles
30,60,90 and 45,45,90 Triangles
What is the acronym we use to identify trig ratios
SOH-CAH-TOA
Look to Indirect Measurements Diagram 1
Approximately 24.3
The angles x and y are said to be supplementary only if x + y is equal to
180 Degrees
You have a right triangle with the legs measuring 3 and 4 feet long, how long is the hypotenuse
The square root of 26 Feet
Which of our special right triangles has a ratio of 1:1:sqrt(2)
45,45,90 Triangles
What is the trig ratio for cosine
Adjacent/Hypotenuse
Look to Indirect Measurements Diagram 2
Approximately 50 Degrees
If angle 1 and angle 2 are complementary and angle 2 is 18 degrees what is the measure of angle 1
72 Degrees
Which of the following sets of numbers could represent the three sides of a right triangle?
13,48,50
49,55,73
16,63,65
20,72,75
16,63,65
Which of our special right triangles has a ratio of 1:sqrt(3):2
30,60,90 Triangles
what is the trig ratio for sine
Opposite/Hypotenuse
A boat is heading towards a lighthouse, whose beacon-light is 110 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 7∘. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.
Approximately 895.9
If angle 1 and angle 2 are supplementary and angle 1 is 102 degrees what is the measure of angle2
78 Degrees
Which of the following sets of numbers could not represent the three sides of a right triangle?
13,84,85
3,4,5
33,44,55
15,20,24
15,20,24
Look to Special Right Triangles Diagram 1
(9sqrt(2))/2
What is the name of the reciprocal for tangent
Cotangent
From a hot-air balloon, Tallulah measures a 27∘ angle of depression to a landmark that’s 638 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
Approximately 325.1
If angle 1 and angle 2 are complementary and angle 2 is double the size what is the measure of angle 1
30 Degrees
Look to Pythagoras Diagram 2
53
Look to Special Right Triangles Diagram 2
sqrt(3)/3
What is the name for the reciprocal of sine
cosecant
Miguel is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 22 meters from the building. The angle of elevation from his eyes to the roof (point A) is 26∘, and the angle of elevation from his eyes to the top of the antenna (point B) is 31∘. If his eyes are 1.53 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest tenth of a meter if necessary.
2.5 Meters