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WorksheetsModule 2. Identities, trigonometric equations and triangles
Total questions: 10
Worksheet time: 45mins
in which cases we can use the Sines Law
AAS (angle, angle, side)
ASA (angle, side, angle)
SAS (side, angle, side)
SSS (side, side,side)
SAS (side, angle, side)
SAA (side, angle, angle)
SAS (side, angle, side)
SSS (side, side,side)
AAS (angle, angle, side)
ASA (angle, side, angle)
SSA (side, side, angle)
A plane is 105 km north and 163 km east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree.
(a)
Consider a triangle ABC like the one below. Suppose that B=48°, C=58°, and a=60. (The figure is not drawn to scale.) Solve the triangle.
A=74°
b= 52.9
c= 46.4
a= 74°
b= 46.4
c= 52.9
A=74°
b= 46.4
c= 52.9
Find the degree measure of H angle in the triangle
(a)
Simplify. cscxtanx
Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.
tanx
secx
1
sinxsecx
These are the Reciprocal identities
A tree that is 20 meters tall is not growing perfectly straight (see the figure below). Luciano, who is standing 16 meters from the base of the tree, finds that the angle of elevation from the ground to the top of the tree is 60°. At what angle θ (with respect to the ground) is the tree growing? Round your answer to the nearest tenth of a degree.
θ=
(a)
Find the length x.
(a)
Simplify cosxcotx :
cosx
cscx
tanx
not answer
A kite flying in the air has a 4 m line attached to it. Its line is pulled taut and casts a 3 m shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
2.5
5
2.7m
2.6m
