Q:

how do I solve for x?

Accepted Solution

A:
The value of x in the special right triangle is 39.60 ft.Right angle triangleRight angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.Therefore, let's find the base of the triangle with 30 degrees. sin 30Β° = opposite / hypotenuse1 / 2 = 7 / bb = 14 ftLet's use the value(14 ft) to find the height of the biggest triangle.sin 30 = opposite / hypotenusesin 30 = 14 / h0.5h = 14h = 14 / 0.5h = 28 ftTherefore, let's find the value of x .sin 45Β° = 28 / xx = 28 / 0.70710678118x = 39.5979797464x = 39.60 ftlearn more on right triangle here: