What is the study of relationships between the sides and the angles of triangles.
Trigonometry
100
What is the height of an acute triangle with angle 32 degrees and adjacent side 17cm. (to 3sf)
10.6
100
How do you find the area of a triangle if you know angle C but it is not right angled?
A = 1/2 ab sin(C)
100
What is the cosine law, if you know angle C?
c^2 = a^2 + b^2 - 2ab cos C
100
The value of y in centimeters for:
y^2 = 2788 - 2688(cos78).
What is approximately 47 cm.
200
What trigonometric ration would you use for an acute angle, A, in a right triangle, the ratio of the length of the opposite leg to the length of the hypotenuse.
Sin(A)
200
What is the distance from a wall and the base of a ladder if the ladder is 7m long and it makes a 73 degree angle with the ground as it rests against a house? To 3 sf
2.05
200
What is the sine law?
sinA/a = sinB/b = sinC/c?
200
The important thing to remember about c and C in the Law of Cosines.
that "side c is opposite angle C"
200
The value of C in:
152100 = 266900 - 266000(cosC)
What is approximately 64 degrees?
300
What is the size of the angle, B, with tan(B) = 2.0503.
64 degrees.
300
What is the height of the building 1000 ft away from you, if you can see the top by looking up up 24° from the horizontal.
445ft
300
What is the area of a triangle with sides length 150cm and 100cm and included angle is 40 degrees.
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.
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
What is the cosine of acute angle B in right triangle ABC with sides a = 3, b = 4, c = 5.
3/5 or 0.6
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.
158ft
400
What is 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.
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
What are the sine, cosine, and tangent ratios of the acute angle B in right triangle ABC where a = 5, b = 12, c = 13.
sin(B)= 12/13; cos(B) = 5/13; tan(B) = 12/5?
500
Whaht is 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.
64.7m
500
What is 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.
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.