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Laabri

HONORS Chapter 7 Test

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Last updated about 4 years ago
44 Nsɛmmisa

SPECIAL RIGHT TRIANGLES

Solve for the indicated variable in each 45-45-90 triangle or 30-60-90 triangle. All answers must be in simplified radical form. No decimals!! (1 point each)

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TRIGONOMETRY

Solve for the given variable. Round angles to the nearest tenth of a degree and sides to the nearest hundredth. (1 point each)

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1.

Solve for a.

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2.

Solve for b.

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3.

Solve for a.

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4.

Solve for b.

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5.

Solve for c.

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6.

Solve for d.

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7.

Solve for c.

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8.

Solve for d.

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9.

Solve for f.

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10.

Solve for e.

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11.

Solve for g.

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12.

Solve for f.

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13.

Solve for c.

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14.

Solve for c.

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15.

Solve for d.

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16.

Solve for g.

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17.

Solve for h.

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18.

Solve for y.

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19.

Solve for x.

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20.

Solve for a

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21.

Solve for b.

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22.

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

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23.

The length of the side of an EQUILATERAL TRIANGLE is 14. Find the length of an altitude.

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24.

Solve for x.

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25.

Solve for y.

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26.

Solve for x.

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27.

Solve for y.

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28.

Solve for x.

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29.

Solve for y.

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30.

Solve for x.

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31.

Solve for y.

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32.

Solve for x.

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33.

Solve for y.

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34.

Solve for x.

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35.

Solve for y.

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36.

Solve for y.

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37.

Solve for x.

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38.

In ∆XYZ, <Z is a right angle.

If Sin X = 3/5, find the length of XZ.

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39.

In ∆XYZ, <Z is a right angle.

If Sin X = 3/5, find the ratio Tan Y.

Leave your answer as a simplified fraction.

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40.

The lengths of a pair of adjacent sides of a rectangle are 14 and 22. Find, to the nearest tenth degree, the angle a diagonal makes with the shorter side.

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41.

Mrs. Marsh is standing on a cliff at the edge of the ocean and she spots a raft. The cliff is 18m above sea level and the angle of depression is 7 degrees. Find the distance to the nearest hundredth from the raft to the base of the cliff.

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42.

The plexiglass basketball backboard in the gym is cracked, and you need to replace it. You want to know how big a piece of plexiglass to order. The free-throw line is 15 feet from a spot directly under the backboard.

From the free throw line, you measure the angle of elevation to the bottom of the backboard to be 32.3 degrees and the angle of elevation to the top of the backboard to be 40.9 degrees. How tall is the piece of plexiglass? Round all answers to the nearest tenth.

Hint: Draw 2 triangles and subtract.

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43.

The exit ramp off a freeway has a constant 23% grade. What is the angle of elevation? Round your answer to the nearest whole degree.

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44.

*BONUS*

Find the AREA of the figure. Round your answer to the nearest tenth.

(2 points)