Geometric Mean
Find Missing Side
Find Missing Angle
Pythagorean Theorem
Trig Facts
100
If KG= 9 and IG= 12 Find the length of GM.
9/12 = 12/x
144=9xx=16
100
Solve for x Round to the nearest tenth
Sin (16.5) = 8/x
x=28.2
100
What is the measure of angle S to the nearest degree?
Cos (x) = 60/65
x = 23
100
What is the equation for the Pythagorean Theorem?
a^2+ b^2 = c^2
100
True or false Sin(A)= Tan (B)
False
200
Solve For x
3/9 = 9/x x=27
200
Round to the nearest whole number
Sin (32) = x/129.5
x=69
200
What is the measure of angle A rounded to the nearest degree?
Sin ( x ) = 13/16
x=54
200
Do the following 3 sides create a right triange?
3, 12, 13?
No
32 + 122 = 132
No, 153 does not equal 169
200
How many degrees do the reference angles in a right triangle add up to?
90 Degrees
300
6/8 = 8/x x=10.7
300
Solve for h. Rounded to the nearest tenth
h=11.2
sin(35)= h/19.5
300
What is the angle of elevation rounded to the nearest degree?
Sin (x) = 5/25
x=12
300
Solve for the missing side, round to the nearest tenth.
82 + 8.22 = x2
x=11.5
300
Choice 3
Sin T = Cos R
400
What is the length of AB rounded to the nearest tenth?
9.8
400
A lighthouse operator sights a sailboat at an angle of depression of 16°. If the sailboat is 120 ft. away from the base of the lighthouse, how tall is the lighthouse? (round to nearest whole number)
Tan(16) = x/120
x=34
400
An 18 ft tree casts a 15 ft long shadow, what is the angle formed by the sun's rays and the ground? Round to the nearest degree.
Tan (x) = 18/15
x= 50 degrees
400
Solve for x, round to the nearest whole number.
10.42+ x2 = 122
x=6
400
If Sin (2x+10) = Cos (6x) What is the value of x?
2x+10+6x = 90
8x + 10= 90
8x = 80
x=10
500
In the right triangle RST, altitude TV is drawn to hypotenuse RS. If RV = 9 and VS = 16, what is the length of TV ?
TV= 12
500
A plane at an altitude of 7,000ft is flying in the direction of an island. If the angle of depression is 21 degrees from the plane to the island, what is the horizontal distance until the plane flies over the island. Round to the nearest foot.
Tan(21)- 7000/x
x= 18,236
500
Bob places an 18-foot ladder 6 feet from the base of his house and leans it up against the side of his house. Find, to the nearest degree, the measure of the angle the bottom of the ladder makes with the ground.
Cos(x)= 6/18
x=71
500
A wheelchair ramp is 39 feet long. The ramp covers a horizontal distance of 36feet. What is the vertical height of the ramp?
362 + x2 = 392
x=15 feet
500
For the acute angles in a right triangle, sin(4x)° = cos(3x + 13)°. What is the number of degrees in the measure of the smaller angle?
4x + 3x + 13 = 90
x=11
Smaller angle = 44