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
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
100
A campsite is 9.41 miles from a point directly below the mountain top. If the angle of elevation is 12º from the camp to the top of the mountain, how high is the mountain?
x=2
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?
200
If the equal sides of an isosceles right triangle measure 12 units, then the measure of the hypotenuse is _____ units.
12√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 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
200
A man standing on a tower that is 120 feet tall looks down at a point at an angle of depression of 12 degrees. How far is the point from the foot of the tower? Round to the nearest .01
What is x≈564.56
300
The angle formed by a horizontal line and a line of sight to a point above
What is an angle of elevation?
300
What is c and d?
c = 6√2 d = 12
300
What is x?
10√3
300
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
300
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
400
A ratio of two sides of a right triangle
What is a trigonometric ratio?
400
What is f and e?
e = 13√2 f = 13√2
400
The length the short leg is 3√3. What is the length of the hypotenuse?
6√3
400
From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of the pole measures 53°. How tall is the flagpole?
15.9 feet
500
If a right triangle has legs length a and b and hypotenuse of length c, then a2+b2=c2
What is the Pythagorean theorem?
500
What is w and x?
45-45-90 Isosceles Right Triangle
500
Find a
6
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