Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is
12 inches, what is the width of QRST?
1 answer:
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<h3>Answer: 35.4</h3>
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Explanation:
Let x be the reference angle where the question mark is located.
Opposite this angle x is 27. The adjacent side is 38.
Use the tangent ratio to tie the two sides together
tan(angle) = opposite/adjacent
tan(x) = 27/38
x = arctan(27/38)
x = 35.3947958 .... which is approximate
x = 35.4
Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled to help compute this.