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Mathematics 10-C
Measurement and Trigonometry
Worksheet 3.3- Sine and Cosine Ratios
Name______________________
Date_______________________
1. Solve for the following to 4 decimal places:
a) cos 30
b) cos 78
c) sin 22
d) sin 71
e) cos 58
f) sin 18
a) sin A = 0.61566
b) sin A = 0.70711
c) sin A = 0.22495
d) cos A = 0.76604
e) cos A = 0.70711
f) cos A = 0.87156
2. Find <A to the nearest degree:
3. In each triangle, solve for the unknown (drawings are not to scale):
a)
b)
25.0 cm
13.0 cm
x
x
18
34
c)
d)
x
23
x
6.5 cm
24.0m
59
e)
f)
6 cm
9 cm
x
13m
15m
x
4. In ABC, <B = 90 and AC = 25.0m. Find AB and BC if:
(Hint- Draw the triangle)
a) <A = 31
b) <C = 78
5. A wheelchair ramp is 8.2 m long and rises 0.75 m. What is the angle of elevation of the
ramp, to the nearest degree?
6. A kite has a string 150m long. If the string makes an angle of 41 with the ground, find
the height of the kite.