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Right Triangles - Solving for Sides and Angles (Grades 11-12)

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Right Triangles - Solving for Sides and Angles

1.
If AC is 15, AB is 17, and BC is 8, then find $cos(B)$.
1. $8/15$
2. $15/8$
3. $8/17$
4. $15/17$

2.
If AC is 12, AB is 9, and BC is 15, then what is $cos(C)$?
1. $4/3$
2. $4/5$
3. $3/5$
4. $3/4$
3.
If side $BC = 9$ and $ang B = 23 deg$, what is the length of $AC$ ?
1. 3.8
2. 8.3
3. 9.2
4. 3.5

4.
If side $BC = 9$ and $ang B = 23 deg$, what is the length of $AB$ ?
1. 3.8
2. 8.3
3. 9.2
4. 3.5
5.
If AC = 16, BC = 18, what is the measure of angle A?
1. 48.4°
2. 41.6°
3. 27.3°
4. 62.7°

6.
Calculate the length of AC if BC = 17 and Angle B = 70°. Round to the nearest whole number.
1. 47
2. 16
3. 6
4. 24
7.
Given $Delta ABC$, where $AC = 5 " and " ang A = 31deg$, find the length of side AB.
1. 9.71
2. 2.58
3. 5.83
4. 4.29

8.

$bar(AB)=13.9$ and $angB=29deg$. What is the length of $bar(AC)$?
1. 0.4
2. 12.2
3. 25.1
4. 7.7
9.
Given that AC = 19 and AB = 11, find the measure of Angle B. Round to the nearest whole degree.
1. $60deg$
2. $30deg$
3. $70deg$
4. $85deg$

10.
Given $Delta ABC$, where $AB = 9 " and " ang C = 53deg$, find the length of BC.
1. 14.95
2. 5.42
3. 7.19
4. 11.27
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