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In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.
In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.
The plant needing full sun can be placed approximately 28.8 feet away from the fence.To find the distancethat a plant needing full sun can be placed from a fence that is 10.5 feet high, we'll use trigonometry.Let's denote:-as the height of the fence (10.5 feet)-as the angle of elevation of the sun (20 degrees)-as the horizontal distance from the plant to the base of the fence (the distance we want to find)We can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case,.So, we have:To find, we rearrange the equation:Now, let's calculate.First, we need to convert the angle from degrees to radians because most calculators and mathematical functions use radians.Now, we can calculate:So, the plant needing full sun can be placed approximately 28.8 feet away from the fence....