Pythagorean Theorem
Pythag Converse
Special Right Triangle
Trig Ratios
Elevations
100
sqrt(205)
100
Find if the Triangle is Acute, Right, Obtuse, or does not exist.
12, 9, 13
Acute
100
Solve for x and y.
x=6sqrt2 , y=6
100
What is the tangent ratio?
Tan(a)=24/7
100
A hiker is 400 meters away from the base of the radio tower. The angle of elevation to the top of the tower is 46°. How high is the tower?
414.2 m
200
2 sqrt(34)
200
Find if the Triangle is Acute, Right, Obtuse, or does not exist.
3, 5 ,4
Right
200
Solve For x and y.
x=16, y=8sqrt3
200
What is the sine ratio of angle A?
Sin(A)=a/c
200
The angle of elevation from a boat to the top of a 92-meter hill is 12°. How far is the boat from the base of the hill?
432.83 m
300
2 sqrt(14)
300
Find if the Triangle is Acute, Right, Obtuse, or does not exist.
4, 9, 3
Does not Exist
300
Find x and y
x=4sqrt2 ,y=4sqrt2
300
What is the value of x?
Sin(53)=35/x
x=43.8
300
From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures 28°. Find the distance from the plane to the rock.
2,256.06 m
400
sqrt(226)
400
Find if the Triangle is Acute, Right, Obtuse, or does not exist.
2 sqrt(2), 3sqrt(3), 5
Acute
400
Find m and n.
m=(5sqrt3)/2 , n= 5/2
400
What trig ratio do you need to use to solve for BC? What is the length of BC?
cos(70)=x/5
BC = 1.71
400
A man, 1.5 m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30 m high, how far is the car from the base of the building?
8.44 m
500
2 sqrt2
500
Find if the Triangle is Acute, Right, Obtuse, or does not exist.
7, 4sqrt(13), sqrt(259)
Obtuse
500
Find m and n.
m= 4sqrt3 , n=2sqrt6
500
Find the missing angle
Sin-1(15/18)=56.44 degrees
500
According to a lighting specialist for an art gallery, for best illumination of a piece of art, it is recommended that a ceiling mounted light be 1.8 m from the piece of art and that the angle of depression of the art piece be 38°. How far from the wall should the light be placed so that the recommendations of the specialist are met?
1.4 m