If triangle ABC and DEF are similar then what is the length of EF? AB=6 BC=12 DE= 4
What is 8?
100
If you were trying to find the length of the side of a triangle and were using Cosine, which two would you use?
-Opposite
-Hypotenuse
-Adjacent
What is Adjacent and Hypotenuse?
100
An airplane whose altitude is 4000 m flies directly over a ship. At that moment a second ship 3000 m away from the first one. To the nearest meter, what is the direct distance of the airplane from the second ship?
What are 5000 m?
100
A kite with a string 150 feet long makes an angle of 45 degrees with the ground, Assuming the string is straight, how high is the kite? Round to the nearest foot.
What is 106 ft?
100
The _________ is the angle formed by a horizontal line and a line of sight to a point above the line.
What is angle of elevation?
200
Triangles LMN and OPQ are similar. What is the length of LN if ML=15, OP=20 and OQ=8?
What is 6?
200
What is the acronym used to remember the three most common functions?
What is SohCahToa?
200
An 80-meter tower is to be secured with a wire that will extend from the top of the tower to the ground 40 meters from the base of the tower. What is the length of the wire to the nearest foot?
What are 89 m?
200
A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 32 degrees. How far is the tower from a point directly beneath the plane? Round to the nearest meter.
What are 19,204 m?
200
The ratio the length of the side opposite the angle to the length of the leg adjacent to the angle is which trigonometric term?
What is Tangent?
300
If rectangle ZYXW and VUTS are not congruent, but their side lengths are proportional then the rectangles are _____?
What is similar?
300
A ladder leaning against the wall makes an angle of 74 degrees with the ground. If the foot of the ladder is 6.5 feet from the wall, how high on the wall is the ladder? Find to the thousandths place.
What is22.668 feet?
300
A 25-foot flagpole is to be secured with a wire that will extend from the top of the pole to a stake in the ground 20 feet from the base of the pole. What is the length of the wire to the nearest foot?
What are 32 ft?
300
A 300 m cable is attached to the top of an antenna. The angle of elevation to the top of the antenna is 15 degrees. How high is the antenna? Round to the nearest meter.
What is 336 m?
300
A person is standing 30 meters from a traffic light. If the angle of elevation from the person's feet tot the top of the traffic light is 25 degrees, find the height of the traffic light. Round to the nearest meter.
What is 14 m?
400
When two figures that are the same shape but not the same size, the side lengths are called __________?
What is Proportional?
400
A girl flying a kite lets out 300 feet of string which makes an angle of 38 degrees with the ground. Assuming that the string is straight, how high above the ground is the kite to the tenths place?
What is 184.7 feet?
400
When you buy a 27 inch television set, the 27 inches refers to the diagonal measurement of the screen. If a 27 inch TV has a square screen, What is the length of any side?
What are 19 inches?
400
A great white shark swims 22 feet below sea level. If the shark is 67.7 feet from the sailboat, what is the angle of depression of the boat to the shark? Round to the nearest degree.
What is 19 degrees?
400
Solve.
√9a³b³c²
What is 3abc√abc ?
500
f 198
------ = --------
31.2 62.4
What is the value of f?
What is 99?
500
A ladder leans against a building. The top of the ladder reaches a point on the building which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle which the ladder makes with the level ground to the thousandths place.
What is 68.749 degrees?
500
The height of a flag pole is 10 m. A wire 12 m long runs from the top of the pole and is bolted to the ground. If the wire is tight, how far is the bolt from the flag pole? Round to the nearest hundredth of a meter.
What are 6.63 m?
500
A car is traveling up a slight grade with an angle of elevation of 2 degrees. After traveling 1 mile, what is the vertical change in feet? (1 mile=5,280 ft) Round to the nearest foot.
What is 184 ft?
500
The front of a tent is in the shape of an equilateral triangle with side lengths of 8 feet. A tent pole is placed from the beak of the tent tot the center of the opposite side (floor of the tent). What is the approximate height of the pole?