SOLUTION: A 2.2m by 4.6m ramp is constructed in such a way that the incline of the shorter edge to the horizontal is 30 degrees. Calculate the angle between a diagonal of the ramp and the ho

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Question 1149059: A 2.2m by 4.6m ramp is constructed in such a way that the incline of the shorter edge to the horizontal is 30 degrees. Calculate the angle between a diagonal of the ramp and the horizontal.
Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
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First, the height of the ramp is half of its shorter edge, i.e. 2.2/2 = 1.1 m.



Second, the length of the diagonal of the ramp is  sqrt%282.2%5E2+%2B+4.6%5E2%29 = sqrt%2826%29.



Third,  

    sin(a) = 1.1%2Fsqrt%2826%29 = 0.216,     (1)

where "a" is the angle under the question.



Now use your calculator to find "a" from equation (1), your answer.

Solved.