Pythagorean Theorem
30-60-90
45-45-90
Trigonometry
Surprise
100
Solve for x. Round your answer to the nearest hundredth if necessary.
29
100
The side across from the 60 degree angle is this.
x radical 3
100
Solve for x in the triangle shown.
x=3
100
Name the sin, cos, and tan of angle S.
sinS=28/53
cosS=45/53
tanS=28/45
100
Determine whether the side lengths form a triangle.
7, 11, 18
no
200
Determine whether the side lengths form a triangle. If so, is the triangle a right triangle?
3√2,5,9
No, obtuse
200
Find x.
x=2√3
200
This is the length across from the 90 degree angle.
x radical 2
200
Find the value of x. Round to the nearest tenth if necessary.
8.1
200
Find x so that l ll m. State the converse used.
x=17 consecutive interior angles
300
Solve for x. Round your answer to the nearest hundredth if necessary.
60
300
Solve for x and y in the triangle shown.
x=16√3,y=8√3
300
If 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
300
Solve for g and h. Round to the nearest hundredth.
h=5.49
g=11.78
300
The side congruent to IG
UW
400
Determine the height of the triangle. Round to the nearest tenth.
12.042
400
In a 30-60-90 triangle the long leg is √6. What is the length of the short leg?
√2
400
In a 45-45-90 triangle, one of the legs is √3. How long is the hypotenuse? Your answer should be in simplified radical form.
√6
400
If a person was standing 35 feet from a tree that is 43 feet tall, what is the measure of the angle of elevation to the nearest tenth?
50.9 degrees
400
What is the value of the missing angle? Round to the nearest degree.
46
500
The length of the diagonal of a square is 15 radical 2. What is the perimeter of that square?
60
500
In triangle ABC, angle C measures 30 degrees, angle A measures 60. The length of AC is 12. This is the length of BC.
6 radical 3
500
The perimeter of a square is 68 meter. Find the length of the diagonal. Write exact answer.
17√2
500
From a hot-air balloon, Sasha measures a 38 degree angle of depression to a landmark that’s 1922 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
1501.63
500
An ant peers up at a picnic basket on a 2.7 foot tall table. It is looking up at the basket at a 12 degree angle. How far up will it need to walk to get to the base of the table? Round to the nearest tenth.
Draw a picture.
12.7 ft