The altitude of a mountain peak is measured as shown in the

The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,554 feet on a different mountain, the straight-line distance to the peak of mountain is 27.3122 miles and the peak\'s angle of elevation is 5.39°. 27.3122 mi Approximate the height of the mountain to the nearest foot. (Neglect the curvature of the earth.) The height of the mountain is approximately Deet. (Do not round until the final answer. Then round to the nearest foot as needed.)

Solution

height = 14554 + 144208.41 x tan(5.39°) = 14554 + 1360631 = 1375185 feet