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The diagonal of a rectangle with the length of 30 yd and the width of 30 yd is approximately 42.43 yd

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Q: How long is the diagonal of a rectangle with the length of 30 yd and the width of 30 yd?
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How do you find the width and length of a rectangle if you only know the diagnol?

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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?

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.