Trigonometric Ratios Worksheet Page 17
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22A
3. Determine the length of the indicated side.
a) In △ABC, ∠A = 52°, ∠B = 43°,
Unless specified otherwise, all angles are
and b = 9 m. Determine a.
between 0° and 360°. Round all lengths to
the nearest tenth of a unit and all angle
b) In △DEF, ∠D = 65°, ∠E = 49°,
measures to the nearest degree.
and e = 15.7 cm. Determine f.
1. Determine the length of each indicated side.
4. Solve each triangle.
a)
A
a) In △ABC, ∠A = 72°, ∠B = 47°,
and a = 15 km.
65°
b) In △DEF, ∠D = 65°, ∠F = 51°,
16 cm
and d = 8 m.
72°
c) In △JKL, ∠K = 52°, k = 25 cm,
B
and ℓ = 28 cm.
a
d) In △PQR, ∠R = 35°, p = 30 m,
C
b)
e
and r = 37 m.
D
F
38°
5. In △HJK, h = 7.2 m, j = 8.4 m,
7 m
and ∠H = 68°. °. .
85°
a) Calculate j sin H.
E
b) How many solutions are possible for
c)
G
△HJK?
25 km
87°
I
6. In △ABC, a = 4.5 cm, b = 5.2 cm,
and ∠A = 37°.
g
a) Calculate b sin A.
35°
b) How many different △ABC are
possible?
H
c) Solve △ABC.
d)
J
7. In △PQR, p = 5.3 km, q = 10.6 km,
60°
and ∠P = 30°. °. .
18 m
a) Determine the number of possible
70°
solutions for △PQR.
K
b) Solve △PQR.
L
B
2. Determine the measure of angle .
8. Given △MNP with m = 6.7 cm,
a)
62 cm
n = 12.4 cm, and ∠M = 26°, determine
°, determine
, determine p.
37 cm
139°
9. Sketch each triangle. Then, calculate the
b)
D
E
length of the third side.
48°
a) In △ABC, c = 10 cm, b = 12 cm,
and ∠B = 44°. °. .
17 cm
20 cm
b) In △RST, r = 6.2 m, s = 8.1 m,
and ∠R = 39°. °. .
F
978-0-07-090893-2 Mathematics for College Technology 12 Study Guide and Exercise Book • MHR 17
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