Free Printable G10MIAP Ch2.1.1 Trigonometry

Worksheets

G10MIAP Ch2.1.1 Trigonometry - Proportional Reasoning

Total questions: 20

Worksheet time: 3hrs 50mins

Name

Class

Date

Which statement is true about the similar triangles?

Line EG corresponds with Line QS

Line FG corresponds with Line QR

Line EF corresponds with Line RS

Line QS corresponds with Line EG

What is the height of the flag pole. (Use a proportion to find your answer)

21.3 ft

12 ft

75 ft

15 ft

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

3.75

9.75

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

x = 19 cm

x = 24 cm

x = 3 cm

x = 16.5 cm

Ratios are quantitative comparisons also known as...

fractions

percentages

proportions

correlations

quotients

What is the length of the hypotenuse?

(a)

What is the length of the side opposite angle D?

(a)

What is the length of the side adjacent to angle G?

(a)

What is the length of the hypotenuse?

(a)

10.

If the side that measures 8 is the opposite side, what angle is the 'reference angle'?

(a)

11.

If the side that measures 24 is the adjacent side, what angle is the 'reference angle'?

(a)

12.

If the side that measures 12 is the adjacent side, what angle is the 'reference angle'?

(a)

13.

If the side that measures 8 is the adjacent side, what angle is the 'reference angle'?

(a)

14.

If angle P is our reference angle, what is the ratio of the opposite side to the hypotenuse?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{4}{3}$

$\frac{3}{4}$

15.

If Y is the reference angle, determine the ratio of the opposite to the hypotenuse.

0.88

1.13

$\frac{15}{17}$

$\frac{17}{15}$

16.

If angle E is the reference angle, determine the ratio of the adjacent to the hypotenuse.

$\frac{19}{7}$

$\frac{7}{19}$

2.71

0.37

17.

If the reference angle is F, then the ratio of the opposite to the adjacent is...

$\frac{13}{12}$

$\frac{12}{13}$

$\frac{5}{12}$

$\frac{12}{5}$

18.

If angle G is the reference angle, then the ratio of opposite to the adjacent is...

$\frac{8}{17}$

$\frac{8}{15}$

$\frac{15}{17}$

$\frac{15}{8}$

19.

If angle H is the reference angle, then the ratio of the opposite to the hypotenuse is...

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{5}{3}$

$\frac{4}{3}$

20.

If angle T is the reference angle, then the ratio of the adjacent to the hypotenuse is...

$\frac{7}{25}$

$\frac{7}{24}$

$\frac{24}{25}$

$\frac{24}{7}$

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G10MIAP Ch2.1.1 Trigonometry - Proportional Reasoning

Total questions: 20

Worksheet time: 3hrs 50mins

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