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The length of the rectangle below is 26.63 inches. If the diagonal makes an angle of 42.6 and ordm with this side find the measure of the width of the rectangle rounded to the nearest tenth of an inch?
Wiki User
∙ 7y ago
The diagonal creates a right angled triangle with one pair of long and short sides - the diagonal is the hypotenuse.
We know the angle between the long side (adjacent) and hypotenuse as 42.6°;
We want to find the length of the short (width) side (opposite).
We can use the Tan ratio:
tan = opposite/adjacent
→ opposite = adjacent × tan
→ width = 26.63 in × tan 42.6° = 24.487... in
→ width is 24.5 inches to the nearest tenth of an inch.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoNot sure what "ordm" is about, but the width is 24.5 inches.
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