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Mathematics LibreTexts

7.2E: Right Triangle Trigonometry (Exercises)

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For the following exercises, use side lengths to evaluate.

17. cosπ4

18. cotπ3

19. tanπ6

20. cos(π2)=sin()

21. csc(18)=sec()

For the following exercises, use the given information to find the lengths of the other two sides of the right triangle.

22. cosB=35,a=6

23. tanA=59,b=6

For the following exercises, use Figure 1 to evaluate each trigonometric function.

A right triangle with side lengths of 11 and 6. Corners A and B are also labeled.  The angle A is opposite the side labeled 11.  The angle B is opposite the side labeled 6.
Figure 1

24. sinA

25. tanB

For the following exercises, solve for the unknown sides of the given triangle.

26.

A right triangle with corners labeled A, B, and C. Hypotenuse has length of 4 times square root of 2. Other angles measure 45 degrees.

27.

A right triangle with hypotenuse with length 5, and an angle of 30 degrees.

28. A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 70. How high does the ladder reach up the side of the building? Find the answer to four decimal places.

29. The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. Find the answer to four decimal places.


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