Answer:
.
Step-by-step explanation:
By considering the given information we draw a picture to represent the situation ( given in attachment)
Since the tower stands vertical to the ground , therefore , the triangle is a right triangle.
Let x be the angle of elevation from a point 50 feet from the base of the tower to the top of tower.
According to the trigonometry , the tangent of an angle is the ratio of "the side opposite to angle" to "the side adjacent to the angle".
For the triangle below , ![\tan x=\dfrac{200}{50}=4\\\\ x=\tan^{-1}(4)=1.32581766\ radians\ [\text{By scientific calculator}]\\\\=1.32581766\times\dfrac{180^{\circ}}{\pi}\ \\\\=75.9637563^{\circ}=75.96^{\circ}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B200%7D%7B50%7D%3D4%5C%5C%5C%5C%20x%3D%5Ctan%5E%7B-1%7D%284%29%3D1.32581766%5C%20radians%5C%20%5B%5Ctext%7BBy%20scientific%20calculator%7D%5D%5C%5C%5C%5C%3D1.32581766%5Ctimes%5Cdfrac%7B180%5E%7B%5Ccirc%7D%7D%7B%5Cpi%7D%5C%20%5C%5C%5C%5C%3D75.9637563%5E%7B%5Ccirc%7D%3D75.96%5E%7B%5Ccirc%7D)
[Note:To convert radians into degrees we multiply it by
and divide it by
]
Hence, the angle of elevation from a point 50 feet from the base of the tower to the top of tower is
.