Pythagorean Theorem
trig
45°-45°-90°
30°-60°-90°
geometric
100
A carpenter wants to build a handicap ramp over a set of steps that is 12 feet long and 5 feet high. This is the length of the ramp ?
What is 13 feet
100
If angle A has an opposite side of 6 feet, am adjacent side of 4 feet, and a hypotenuse of 2 sqrt(13), what is the tangent of A (simplified)?
What is 3/2
100
An 80-foot tipping platform is a ramp used to unload trucks. This is the height of the ramp (to the nearest tenth) when it is tipped by a 45° angle?
What is 56.7 feet
100
This is the value of x (to the nearest tenth)
What is 9.5
100
What is the geometric mean of 5 and 45?
What is 15
200
A 20-ft ladder is leaning against a wall. If the ladder is 12 ft from the base of the wall, This is the height above the ground at the top of the ladder
What is 16 feet
200
angle Z has an opposite side of length 5 and a hypotenuse of length 9, what is the measure of angle Z?
What is 33.7 degrees
200
ABCD is a square whose side is 8 units. This is the length of diagonal AC to the nearest tenth.
What is 11.3 units
200
A ladder leaning against a tree makes a 30° angle with the ground. The base of the ladder is 8 m from the tree. This is the height of the ladder ( to the nearest tenth) from the ground
What is 4.6 m
200
What is the geometric mean of 8 and 10 (as a simplified radical)?
What is 4 sqrt(5)
300
A baseball diamond is a square with sides of 90 feet. This is the shortest distance, to the nearest feet, between first base and third base?
What is 127 feet
300
Angle B has an adjacent side of length 10 and a hypotenuse of length 14, what is the measure of angle B?
What is 44.4 degrees
300
A brick walkway forms the diagonal of a square playground. The walkway is 23 m long. To the
nearest tenth of a meter, This is the length of one side of the playground.
What is 16.3 m
300
Currently, this tower is leaning at an angle of __ degrees
What is 4°
300
Find x
What is 6
400
A basketball goal is 10 feet high. A player stands 15 feet from the top of the basket. How far is the player from the base of the basket (as a simplified radical)?
What is 5 sqrt(5).
400
An airplane flies at an elevation of 528 feet. The plane needs to land in 2000 feet. What is the angle of depression?
What is 14.8
400
The blades of a helicopter meet at right angles and are all the same length. The distance between the tips of two consecutive blades is 36 ft long. The is the length of each blade (to the nearest feet)
What is 25.5 ft.
400
If the hotel's window is 36 feet above the ground and you must place your ladder 60° with the ground. This is the length of the ladder ( to the nearest tenth) you will need to reach the tower window?
What is 41.6 ft.
400
This is the value of x
What is 2.8
500
A triangle has a hypotenuse of length 14 feet and a leg of length 10 feet. What is the length of the other leg (as a simplified radical)?
What is 4 sqrt(6).
500
A hockey player who is 20 feet from the goal takes a shot at a goal that is 5 feet tall. If the puck travels at a 15 degree angle of elevation toward the goal, will the player score?
No (5.4 > 5)
500
This is the original height of a fallen flagpole that cracked and formed an angle of 45° with the ground. The height from the tip of the pole to the ground is 16 feet
What is 22.6 ft.
500
This is the distance of the man with the dog ( to the nearest tenth) from the tree. If the telephone pole is 40 feet tall.
What is 29.3 ft.
500
This is the distance traveled by the spider
What is 6