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pythagorean theorem
square roots
special triangle
angles
trigonometry
100
To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
22 meter
100
Estimate the radius to the nearest inch, if the area of a circle is 29 in2.
r = 3
100
Grain elevators are conveyor belts used throughout the Midwest to take produce, like wheat, to the top of a silo for storage. How long would the belt of a grain elevator need to be if the bottom is 50 feet from the base of a silo that is 50 feet high? Round your answer to the nearest tenth.
141.4 feet
100
The measure of an angle is 31°. This angle is classified as an _____ angle.
acute
100
Let BC represent the tower with height h = 25 m, and A represent the point where the man is standing. AB = d denotes the distance of the man from tower. The angle subtended by the tower is A = 60o.
14.43
200
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
127.3 ft
200
A square room has an area of 900 ft2. Find the cost to put molding around the ceiling if the molding costs $0.65 per foot.
$78.
200
One of the most amazing things that happens in nature is the ability of bees to make a honeycomb. Each cell of the honeycomb is a regular hexagon. If the side of one of these honeycomb cells is 2 millimeters, then what is its area? Round your answer to the nearest tenth. Use the equation A = ½ap for the area of the regular polygon.
10.4 mm2
200
The sum of the measures of two angles is exactly 90°. These are known as a pair of __________ angles.
complementary
200
A ship of height h = 24 m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and the base of the ship equal 30o and 45o respectively. How far is the ship from the lighthouse (in meters)?
56.78
300
The older floppy diskettes measured 5 and 1/4 inches on each side. What was the diagonal length of the diskette to the nearest tenth of an inch?
7.4
300
The least perfect square, which is divisible by each of 21, 36 and 66 is:
213444
300
Math often shows up in sports in ways that we don’t realize. Take for example the baseball diamond. It is actually a square with the bases set at 90º angles. If the bases are 90 feet apart, how far is it from home plate to second base? Round to the nearest tenth.
127.3 feet
300
One angle with a measure of 90° is known as a _______ angle.
right
300
Two men on opposite sides of a TV tower of height 32 m notice the angle of elevation of the top of this tower to be 45o and 60o respectively. Find the distance (in meters) between the two men.
50.48
400
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
4
400
If 3sr5 + sr125 = 17.88, then what will be the value of sr80 + 6sr5 ?
22.35
400
In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45º angle to the wind and then turns back 90º towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round your answer to the nearest tenth.
8485.3 meters
400
An angle with a degree measure between 90° and 180° is an _________ angle.
obtuse
400
A pole of height h = 60 ft has a shadow of length l = 34.64 ft at a particular instant of time. Find the angle of elevation (in degrees) of the sun at this point of time.
60
500
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?
50
500
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to SR 59.29, the number of the member is the group is:
77
500
Roof trusses often use right triangles to make a flimsy 2 x 4 more rigid to hold up the weight of the roof. If a house is 40 feet wide and the roof is an isosceles triangle with base angles of 30, how far is it from the bottom edge of the roof to the peak? Round your answer to the nearest tenth.
h = 23.1 feet
500
If one angle of a linear pair is 30°, then the measure of the other angle in the pair is ________ °.
180 – 30 = 150
500
You are stationed at a radar base and you observe an unidentified plane at an altitude h = 2000 m flying towards your radar base at an angle of elevation = 30o. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation = 60o maintaining the same altitude. What is the speed (in m/s) of the plane?
38.49