Solution-Find the cosine and tangent of angle a

Find the cosine and tangent of angle a

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Reference no: EM131081157

1. Referring to the figure, complete the proportion (what is the numerator showing as a question mark):

(x/8) = (?/16)

2. Solve for x in problem #1.

3. Referring to the figure, complete the proportion (what is the denominator showing as a question mark):

(4/x) = (x/?)

4. Solve for x in problem #3.

5. Referring to the figure, complete the proportion (what is the numerator showing as a question mark):

(?/x) = (x/3)

6. Solve for x in problem #5.

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

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

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

10. 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. 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. 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. 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

14. 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. 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. Referring to the figure, find the value of x.

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

18. Referring to the Figure, find the value of a.

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

20. Referring to the Figure, find the value of m.

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

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

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

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

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

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

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

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

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

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

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

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

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

Reference no: EM131081157

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