You can use tangent trigonometric ratio since that deals with perpendicular and base and since the case is related physically to right triangle, thus it would be useful here.
The height of the considered pole is given by Option B: ![12\sqrt3](https://tex.z-dn.net/?f=12%5Csqrt3)
<h2>Given that:</h2>
- The person is standing 36 feet away from base of a pole.
- The angle of elevation from base of person to top of pole is 30 degrees.
<h3>To find:</h3>
Height of pole.
<h2>Using tangent ratio to find height of pole:</h2>
Let the height of the pole be x.
In the given figure attached below, we can see that there is a right angled triangle ABC forming.
By using the tangent ratio from angle C, we have:
![\tan(30^\circ) = \dfrac{\text{AB}}{\text{BC}} = \dfrac{x}{36}\\\dfrac{1}{\sqrt{3}} = \dfrac{x}{36}\\\\x= \dfrac{36}{\sqrt3}\\x = \dfrac{ 12 \times \sqrt3 \times \sqrt 3}{\sqrt3} = 12\sqrt3](https://tex.z-dn.net/?f=%5Ctan%2830%5E%5Ccirc%29%20%3D%20%5Cdfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BBC%7D%7D%20%3D%20%5Cdfrac%7Bx%7D%7B36%7D%5C%5C%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%5Cdfrac%7Bx%7D%7B36%7D%5C%5C%5C%5Cx%3D%20%20%5Cdfrac%7B36%7D%7B%5Csqrt3%7D%5C%5Cx%20%3D%20%5Cdfrac%7B%2012%20%5Ctimes%20%5Csqrt3%20%5Ctimes%20%5Csqrt%203%7D%7B%5Csqrt3%7D%20%3D%2012%5Csqrt3)
Thus, the height of the considered pole is given by Option B: ![12\sqrt3](https://tex.z-dn.net/?f=12%5Csqrt3)
Learn more about trigonometry and tangent ratio here:
brainly.com/question/10375496
Answer:
The square roots of 400 are 20 and -20.
Step-by-step explanation:
You can try the offered answers to see if they square to give 400:
(-40)² = 1600 . . . . -40 is not a square root of 400
(-20)² = 400 . . . . -20 is a square root of 400
20² = 400 . . . . . 20 is a square root of 400
40² = 1600 . . . . 40 is not a square root of 400
_____
The second degree equation ...
x² = 400
will have exactly two solutions, as required by the fundamental theorem of algebra. Those solutions are both given above. There are no other square roots of 400, real or complex.