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Laabri

Chapter 7 Test A

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Last updated about 4 years ago
49 Nsɛmmisa

For questions #1-26, leave your answers in reduced radical form. NO DECIMALS!!!

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Use the triangle below for the next 2 questions.

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1.

Find the value of a.

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2.

Find the value of b.

Use the triangle below for the next 2 questions.

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3.

Find the value of a.

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4.

Find the value of c.

Use the triangle below for the next 2 questions.

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5.

Find the value of a.

1
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6.

Find the value of c.

Use the triangle below for the next 2 questions.

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7.

Find the value of a.

1
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8.

Find the value of b.

Use the triangle below for the next 2 questions.

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9.

Find the value of c.

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10.

Find the value of d.

Use the triangle below for the next 2 questions.

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11.

Find the value of a.

1
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12.

Find the value of b.

Use the triangle below for the next 2 questions.

1
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13.

Find the value of a.

1
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14.

Find the value of b.

Use the triangle below for the next 2 questions.

1
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15.

Find the value of a.

1
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16.

Find the value of a.

Use the triangle below for the next 2 questions.

1
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17.

Find the value of a.

1
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18.

Find the value of b.

Use the triangle below for the next 2 questions.

1
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19.

Find the value of a.

1
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20.

Find the value of b.

Use the square below for the next 2 questions.

1
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21.

Find the value of a.

1
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22.

Find the value of b.

Use the equilateral triangle below for the next 2 questions.

1
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23.

Find the value of a.

1
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24.

Find the value of b.

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25.

The length of the side of a square is 8. Find the length of the diagonal.

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26.

The length of the side of an equilateral triangle is 14. Find the length of the altitude.

Use the diagram below for the next 4 questions.

For each question, find the indicated trigonometric ratios. Leave your answers as reduced fractions.

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27.

sin\angle{Z}

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28.

cos\angle{E}

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29.

tan\angle{J}

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30.

cos\angle{F}

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31.

Use the diagram below to find the value of x. Round your answer to the nearest tenth.

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32.

Use the diagram below to find the value of x. Round your answer to the nearest tenth.

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33.

Use the diagram below to find the value of x. Round your answer to the nearest tenth.

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34.

Use the diagram below to find the value of x. Round your answer to the nearest tenth.

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35.

Use the diagram below to find m\angle{R}. Round your answer to the nearest tenth.

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36.

Use the diagram below to find m\angle{R}. Round your answer to the nearest tenth.

Use the triangle below for the next 3 questions.

For each question, round your answer to the nearest tenth.

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37.

Find the length of AB

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38.

Find m\angle{A}

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39.

Find m\angle{B}

Use the triangle below for the next 3 questions.

For each question, round your answer to the nearest tenth.

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40.

Find the length of AC

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41.

Find the length of BC

1
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42.

Find m\angle{B}

Use the triangle below for the next 3 questions.

For each question, round your answer to the nearest tenth.

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43.

Find the length of XY

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44.

Find the length of XZ

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45.

Find m\angle{Y}

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46.

The diagonal length of a skateboard ramp is 12 feet. If the ramp's angle of elevation is 9o, find the height of the ramp to the nearest tenth of a foot.

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47.

A 30-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What angle does the ladder make with the ground? Round your answer to the nearest tenth.

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48.

A lighthouse keeper observes that there is a 10o angle of depression between the horizontal and the line of sight to a ship. If the keeper is 25 m above the water, how far is the ship from shore to the nearest tenth?

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49.

BONUS:

Using the diagram below, find the indicated height (h). Round your answer to the nearest tenth.