Solving For angles!
Special Right Triangles
Sine
Cosine
Tangent
Angle of Elevation/Depression
100
Find the value of A.
What is 28.7
100
Find y.
What is
13sqrt2
100
The definition of SINE is the ratio of the side opposite an angle to the ______________.
What is HYPOTENUSE.
100
The definition of COSINE is the ratio of the side __________ an angle to the hypotenuse.
What is adjacent
100
The definition of TANGENT is the ratio of the __________ an angle to the __________.
What is opposite and adjacent
100
The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, Missouri is 39°. How tall is the Gateway Arch?
What is 630 ft
200
Find the value of a.
What is 33.56.
200
Find y.
What is
3sqrt3
200
Find x.
What is x = 26.7
200
Find x.
What is x = 7.3
200
Find x.
What is x = 18.9
200
Disney’s Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet from the base of the ride, what is the angle of elevation from the point where Josh is standing to the top of the tower?
What is 56.4°
300
What is 36.9 degrees?
300
Find x.
What is 50
300
Find x.
What is x = 40.7
300
Find x.
What is x = 16.5
300
Find x.
What is x = 13.6
300
The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°. If the telephone pole is 18 feet tall, what is the distance between the pole and the tree?
What is 9.2 ft
400
A rope from the top of a mast on a sailboat is attached to a point 19 feet from the mast. If the rope is 28 feet long, What is the angle between the ground and the rope? Round to the nearest tenth of a foot.
What is 47.3 degrees.
400
Find x.
What is
3sqrt2
400
Find
mangleR
What is x = 41.8
400
Find x.
What is x = 29.6
400
Find x.
What is x = 18.9
400
While parasailing, Ryan spots a dolphin on the water below. If Ryan is 228 feet above the water and the angle of depression to the dolphin is 15°, what is the horizontal distance between Ryan and the dolphin?
What is 851 ft
500
Westfalls is 7 miles south of Edenville and Concord is 13 miles west of Westfalls. What is the angle of elevation from Concord to Edenville?
What is 28.3 degrees?
500
Find y.
What is y =
17sqrt2
500
A 60-ft ramp rises from the 1st floor of a parking garage to the second floor at an angle of 15°. How high is 2nd floor above the 1st.
What is 15.5 ft
500
Find x.
What is x = 139
500
A ladder leaning against a wall at the bottom of a window, makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, how high off the ground is the window?
What is 22.4 ft
500
A helicopter flying 3,590 feet above ground spots the top of a 150-foot tall cell phone tower at an angle of depression of 77°. How far must the helicopter fly to be directly over the tower?
What is 794.2 ft