Find the perimeter of a rectangle with a diagonal of 20 inches that make angle measure 30 and 60 using trigonometric function (sine, cosine, tangent)

The perimeter of the rectangle is  20 + 20√3 inches. How to find the perimeter of a rectangle?The perimeter of a rectangle is sum of the whole side of the rectangle. The side bounded by the rectangle is the perimeter of the rectangle.Therefore,  the diagonal of the rectangle is given as 20 inches. Using trigonometric ratios, let's find the sides of the rectangle.sin 30 = opposite / hypotenusesin 30 = x / 20x = 20 sin 30x = 20 × 0.5x = 10 inchesTherefore, using Pythagoras theorem,20² - 10² = b²b² = 400 - 100 b = √300b = √100 × 3b = 10√3Hence, perimeter of the rectangle = 2(l + w)perimeter of the rectangle = 2(10 + 10√3)perimeter of the rectangle = 20 + 20√3learn more on perimeter here: https://brainly.com/question/10807998#SPJ1