Pythagorean Theorem
Converse of Pyth Thm
45°-45°-90°
30°-60°-90°
Trigonometry
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
This is the type of triangle that is formed by the side legths of 5 -12 - 13
What is 6
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
A 90-foot escalator rises 28 feet vertically. What is the angle of elevation that the escalator makes with the floor?
What is 18.1 degrees.
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 the top of the ladder
What is 16 feet
200
This is the type of triangle formed by the side lengths 20-21-28
What is 2.5
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
An 8-foot ladder is placed against a building at an angle of 46˚. How far up the building will the ladder reach?
What is 5.6 feet
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
This is the type of triangle that is formed by the side lengths 3.6-10-12
What is 4.9
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
A treasure chest is buried 150 feet under a building. If you start digging 850 feet from the building, at what angle of depression must you dig to reach the chest?
What is 10 degrees.
400
Radius is 12 cm. AB and EF are straight lines. This is the length of EF ( to the nearest cm) if the length of OP is 6 cm.
What is 21 cm.
400
This is the value of x ( in simplest radical form ) with a right triangle with sides x-x-8
What is 10 and 22.4
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
A hot-air balloon pilot sights the landing field from a height of 2000 feet. The angle of depression is 24˚. To the nearest foot, what is the distance from the hot-air balloon to the landing field?
What is 4917.2 feet.
500
The rectangle PQRS represents the floor of a room. Gia stands at point A. this is the calculated distance of Gia ( to the nearest meter) from the corner S of the room
What is 11 m.
500
These are the values of x (in simplest radical form of an obtuse triangle with sides of x-x-12
What is less than 6 square roots of 2
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
A surveyor measuring the tallest tree in a park is 100 feet from the tree. His angle-measuring device is 5 feet above the ground. The angle of elevation to the top of the tree is 48˚. How tall is the tree?
What is 116.1 feet.