See Problem 3.

Find the value of x. Round to the nearest degree.

B Apply

28. The lengths of the diagonals of a rhombus are 2 in. and 5 in. Find the measures of the angles of the rhombus to the nearest degree.

29. Think About a Plan Carlos plans to build a grain bin with a radius of 15 ft. The recommended slant of the roof is 25 ° . 25 degrees . He wants the roof to overhang the edge of the bin by 1 ft. What should the length x be? Give your answer in feet and inches.

    

    • What is the position of the side of length x in relation to the given angle?
    • What information do you need to find a side length of a right triangle?
    • Which trigonometric ratio could you use?

An identity is an equation that is true for all the allowed values of the variable. Use what you know about trigonometric ratios to show that each equation is an identity.

30. tan X = sin X cos X tangent x equals . fraction sine x , over cosine x end fraction
31. sin X = cos X · tan X sine , x equals cosine x middle dot tangent x
32. cos X = sin X tan X cosine x equals . fraction sine x , over tangent x end fraction

Find the values of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.

33. 
34. 
35. 

36. Pyramids All but two of the pyramids built by the ancient Egyptians have faces inclined at 52 ° 52 degrees angles. Suppose an archaeologist discovers the ruins of a pyramid. Most of the pyramid has eroded, but the archaeologist is able to determine that the length of a side of the square base is 82 m. How tall was the pyramid, assuming its faces were inclined at 52 ° ? 52 degrees question mark Round your answer to the nearest meter.

    

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