Right Triangles and Trigonometry

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Student: 9271 SHERADON SEGOTA Subject: ML Geometry NEW: Please noteyou will AUTOMATICALLY be logged out after 30 minutes of inactivity. Some find it helpful to go online to www.YouTube.com and enter the chapter title to search and watch instruction videos on this topic. Chapter: 7 Right Triangles and Trigonometry Grade Level: 10 Enrollment Date: 06/18/15

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Special Math Symbol Table Type the characters (shown below the symbol on yellow backgrounds) to obtain the indicated symbol.

Not Equal

Greater than or Equal

Less than or Equal

Squared or 2 Exponent

Cubed or 3 Exponent Deg. Multiply

Plus or Minus

Square Root

≠ ≥ ≤ ² ³ ° · ± √

<> >= <= ^2 ^3 DEG * + SQR

Be sure to label answers with appropriate units: $12.42, 3 IN, 87 MM, 100 FT2, etc. You may also type SQ IN to obtain IN2; SQ FEET or SQ FT to obtain FT2; or CUBIC IN or CU IN

to obtain IN3

As a shortcut, type X3 for X3; or Y2 for Y2; also IN2 for IN2; and M3 for M3, etc.

Standard Math Symbols (found directly on keyboard)

Plus Sign Minus Sign or Subtract Sign Divide Sign Equal Sign Less Than Sign Greater Than Sign

+ / = < >

Note: Do not put period (.) after units, so type TSP (not TSP.) for teaspoon. Type fractions such as 3½ as 3 1/2 or 8¾ as 8 3/4

For answers that are repeating decimals (and no rounding instructions are given), instead of typing 0.33... or 0.66..., use 1/3 or 2/3 (since the fraction form

is the most accurate representation of the answer). To represent X4, type X4 which will be modified to X^4, where ^ indicates raised to a power.

To obtain 28, type 2^8, where "^8" means raised to the 8th power. Always use parentheses around numerators or denominators with two or more terms:

For Example: A + B/C is not the same as (A+B)/C

1 Answer:

Referring to the figure, complete the proportion (what is the numerator showing as a question mark): x ? — = ——

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8 16

2 Answer:

Solve for x in problem #1.

3 Answer:

Referring to the figure, complete the proportion (what is the denominator showing as a question mark): 4 x — = — x ?

4 Answer:

Solve for x in problem #3.

5 Answer:

Referring to the figure, complete the proportion (what is the numerator showing as a question mark): ? x — = — x 3

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6 Answer:

Solve for x in problem #5.

7 Answer:

Referring to the figure, on the right triangle shown, find the unknown side length. (If necessary, round to the nearest tenth.)

8 Answer:

Referring to the figure, on the right triangle shown, find the unknown side length. (If necessary, round to the neartest tenth.)

9 Answer:

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Referring to the figure, on the right triangle shown, find the unknown side length. (If necessary, round to the neartest tenth.)

10 Answer:

Classify the triangle formed by the given side lengths: 6, 8, 10 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

11 Answer:

Classify the triangle formed by the given side lengths: 3, 4, 6 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

12 Answer:

Classify the triangle formed by the given side lengths: 6, 2, 5 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

13 Answer:

Classify the triangle formed by the given side lengths: 5.4, 3.8, 6.5 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

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14 Answer:

Classify the triangle formed by the given side lengths: 1, 2, 3 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

15 Answer:

Classify the triangle formed by the given side lengths: 1.6, 3.0, 3.4 a. right triangle b. acute triangle c. obtuse triangle d. not a triangle

16 Answer:

Referring to the figure, find the value of x.

17 Answer:

Referring to the Fig. in Question #16, find the value of y.

18 Answer:

Referring to the figure, find the value of a.

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19 Answer:

Referring to the Fig. in Question #18, find the value of b.

20 Answer:

Referring to the figure, find the value of m.

21 Answer:

Referring to the Fig. in Question #20, find the value of n.

22 Answer:

Referring to the figure, find the sine of angle A. Express the value as a decimal rounded to four places.

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23 Answer:

Referring to the Fig. in Question #22, find the cosine of angle A. Express the value as a decimal rounded to four places.

24 Answer:

Referring to the Fig. in Question #22, find the tangent of angle A. Express the value as a decimal rounded to four places.

25 Answer:

Referring to the figure, find the sine of angle A. Express the value as a decimal rounded to four places.

26 Answer:

Referring to the Fig. in Question #25, find the cosine of angle A. Express the value as a decimal rounded to four places.

27 Answer:

Referring to the Fig. in Question #25, find the tangent of angle A. Express the value as a decimal rounded to four places.

28 Answer:

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Referring to the figure, find the sine of angle A. Express the value as a decimal rounded to four places.

29 Answer:

Referring to the Fig. in Question #28, find the cosine of angle A. Express the value as a decimal rounded to four places.

30 Answer:

Referring to the Fig. in Question #28, find the tangent of angle A. Express the value as a decimal rounded to four places.

31 Answer:

Referring to the figure, use trigonometric ratios to find the value of x. Round decimals to the nearest tenth.

32 Answer:

Referring to the figure, use trigonometric ratios to find the value of x. Round decimals to the nearest tenth.

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33 Answer:

The distance of the base of a ladder from the wall it leans against should be at least 1/4 of the ladder's total length. Suppose a 10 foot ladder is placed according to these guidelines. Give the minimum distance of the base of the ladder from the wall.

34 Answer:

Referring to the ladder in problem 33, how far up the wall will the ladder reach?