Vocabulary
45-45-90
30-60-90
Angle of Elevation
Angle of Depression
100
Two angles whose measures have a sum of 90º
What are complementary angles?
100
If an isosceles right triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
The short leg length is 6 and the long leg length is 6√3. What is the length of the hypotenuse?
12
100
An airplane is 200 yards away from the foot of a building that is 60 feet. What is the angle of elevation that the plane must fly to avoid hitting the building? Round to the nearest .01
What is x≈16.7
100
A lighthouse that is 100 feet tall sees a boat at an angle of 35 degrees. How far is the boat from the foot of the lighthouse? Round to the nearest .01
What is x≈142.81
200
In a right triangle, the ratio of the length of the leg opposite angle A to the length of the hypotenuse
What is sine?
What is sine?
200
What is the ratio of the sides of an Isosceles Right Triangle?
1:1:√2
200
Daily Double! In a 30-60-90 triangle the short leg length is 3. What is the length of the long leg?
3√3
200
A boy is flying his kite at a port. The kite is 10 feet away from the port and the angle of elevation is 20 degrees. What is the length of the kite's string?
What is x≈10.64
200
A worker looks down from the top of a bridge 240 feet above a river at a barge. The angle of depression is 60º. How far is the barge from the base of the bridge?
What is 139 feet?
300
The angle formed by a horizontal line and a line of sight to a point above
What is an angle of elevation?
300
If an isosceles right triangle has a leg length of 5 what is the lengths of the hypotenuse?
5 square root of 2
300
What is the ratio of the sides of a 30-60-90 triangle?
1:2:√3
300
A ladder that is 14 feet long is leaning against a building with a height of 13 feet. What is the angle of elevation that the ladder is leaning on the building?
What is x≈68.2 degrees
300
A man standing on a tower that is 120 feet tall looks down at a point at an angle of 12 degrees. How far is the point from the foot of the tower? Round to the nearest .01
What is x≈564.56
400
A ratio of two sides of a right triangle
What is a trigonometric ratio?
400
If an isosceles right triangle has a hypotenuse of 6√2 , what is the lengths of both legs?
6
400
The length the short leg is 3√3. What is the length of the hypotenuse?
6√3
400
A boy is flying a kite with a string of 50 meters. The kite is at a height of 40 meters. What is the angle of depression of which the kite is flying? Round to the nearest .01
What is x≈53.13 degrees
400
A helicopter 1400 feet above a boat spots a ship at an angle of 15 degrees. How far is the ship from the boat? Round to the nearest .01
What is x≈5224.87
500
If a right triangle has legs length a and b and a hypotenuse of length c, then a^2+b^2=c^2
What is the Pythagorean theorem?
500
If a right triangle has side lengths of 4,4 and 4√2 what type of right triangle is it?
45-45-90 Isosceles Right Triangle
500
The length of the long leg is 8√3. What is the length of the hypotenuse?
16√3
500
A hot air balloon is flying at a height of 50 meters. A cameraman 200 meters away from the height of the hot air balloon takes a picture, what is the angle of elevation does he have to have to take the picture? Round to the nearest .01
What is y≈14.04
500
A helicopter 800 feet above an island sees a point at an angle of 35 degrees. How far is the point from the island? Round to the nearest .01
What is x≈1142.52