Solving Right Triangles
Radical Operations and Special Right Triangles
Pythagorean Theorem (and its Converse)
Applications
Vectors
100
Find the following trigonometric ratio, write your final answer as a simplified fraction.
12/5
100
Simplify the following, leave your final answer in simplist radical form.
3sqrt(12) -2sqrt(27) -3sqrt(18)
-9sqrt2
100
Solve for x, leave answer in simplist radical form.
2sqrt30
100
A 14 foot ladder is leaning up against a wall and hits the wall 13 feet up. What is the angle formed between the ladder and the ground, to the nearest degree?
68 degrees
100
Describe the vector's direction using compass directions.
48 degrees North of East
200
Solve for x, round to the nearest tenth.
18.8
200
Simplify.
(3sqrt2)/sqrt6
sqrt3
200
Classify the triangle with the following side lengths as acute, obtuse, or right.
5sqrt5, 10, 14
acute
200
A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52 degrees. How high off the ground is the kite? Round to the nearest tenth.
78.8 ft
200
What is the direction of the vector <-10,8>? Describe it using an angle measure (rounded to the nearest whole number) and compass directions.
39 degrees North of West
300
Find the missing angle measure to the nearest whole degree.
35
300
Simplify:
-3sqrt2 +2sqrt8-2sqrt2
-sqrt2
300
Solve for x, leave your answer in simplist radical form.
sqrt19
300
The sides of a rectangle are 25 cm and 8 cm. What is the measure, to the nearest degree, of the angle formed by the short side and a diagonal of the rectangle?
72 degrees
300
What is the magnitude of the vector <12,-17>, round to the nearest tenth.
20.8 units
400
Solve for x, round to the nearest whole number.
13
400
Solve for x and y.
x=10, y=
5sqrt2
400
Classify the triangle with the following side lengths as acute, obtuse, or right.
sqrt91, 10, 14
obtuse
400
At a point 30 feet from the base of a tree, the angle formed with the ground looking to the top measures 53 degrees. Find, to the nearest foot, the height of the tree.
40 ft
400
Describe the vector using an ordered pair.
<38,-65>
500
Solve the right triangle.
a = 5.9, b = 8.1, B = 54
500
Solve for x and y.
x=(10sqrt3)/3, y=(5sqrt3)/3
500
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
3sqrt15
500
From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures 28°. Find the distance from the plane to the building, round to the nearest meter.
2257 m
500
A car travels 30 miles North and 40 miles East. Describe the vehicles direct path in terms of magnitude and direction.
Travels 50 miles at 53 degrees East of North