The study of relationships between the sides and the angles of triangles.
What is Trigonometry?
100
The height of an acute triangle with angle 32 degrees and adjacent side 17cm. (Adjacent side is not perpendicular to height.)
What is 9cm?
100
The SAS Triangle Area Conjecture
What is A = 1/2 ab sin(C)?
100
The c^2 = a^2 + b^2 - 2ab cos C
What is the Law of Cosines?
100
The value of y in centimeters for:
y^2 = 2788 - 2688(cos78).
What is approximately 47 cm.
200
For an acute angle, A, in a right triangle, the ratio of the length of the opposite leg to the length of the hypotenuse.
What is the Sin(A)?
200
The distance from the wall of the base of a 7m long ladder that makes a 73 degree angle with the ground as it rests against a house.
What is 2m?
200
The Law of Sines.
What is sinA/a = sinB/b = sinC/c?
200
The important thing to remember about c and C in the Law of Cosines.
What is that "side c is opposite angle C"?
200
The value of C in:
152100 = 266900 - 266000(cosC)
What is approximately 64 degrees?
300
The measure of angle, B, with tan(B) = 2.0503.
What is 64 degrees?
300
The height of the building 1000 ft away from you, if you can see the top by looking up up 24° from the horizontal.
What is approximately 445 ft?
300
The area of a triangle with sides length 150cm and 100cm and included angle is 40 degrees.
What is approximately 4821 sq cm?
300
The measure of the third side of a triangle with the other two sides measuring 41cm and 36cm with an included angle of 49 degrees.
What is approximately 32cm?
300
The length of the second leg in a right triangle if one leg is 12ft and the hypotenuse is 24ft.
What is approximately 20.78 ft?
400
The cosine of acute angle B in right triangle ABC with sides a = 3, b = 4, c = 5.
What is 3/5?
400
The height off the ground of a kite at the end of a 251 ft string that forms a 39 degree angle with the ground.
What is approximately 158 ft?
400
The length of AC in triangle ABC if BC = 350cm, measure of angle A = 59 degrees and the measure of angle B is 38 degrees.
What is approximately 251cm?
400
The measure of angle A in triangle ARK if KR = 42cm,
RA = 36cm, and AK = 34cm.
What is 74 degrees?
400
The distance from the fire to Tower 1 if two fire watchtowers 8.4 km apart spot a fire at the same time. Tower 1 reports the fire at a 36° angle measure from its line of sight to Tower 2. Tower 2 reports a 68° angle measure between the fire and Tower 1.
What is approximately 8 km from Tower 1?
500
The sine, cosine, and tangent of acute angle B in right triangle ABC where a = 5, b = 12, c = 13.
What is sin(B)= 12/13; cos(B) = 5/13; tan(B) = 12/5?
500
The distance from a ship to a light house if the angle of elevation from the ship to the top of the 42 m lighthouse is 33 degrees.
What is approximately 65m?
500
The distance between the tethers of large helium balloon if one line is 100 feet long and makes an 80° angle with the ground, and the second line makes a 40° angle with the ground.
What is approximately 135 ft?
500
The measure of the smallest angle in a triangle whose side lengths are 4m, 7m, 8m.
What is approximately 30 degrees?
500
The distance from the fire to Tower 2 if two fire watchtowers 8.4 km apart spot a fire at the same time. Tower 1 reports the fire at a 36° angle measure from its line of sight to Tower 2. Tower 2 reports a 68° angle measure between the fire and Tower 1.