Try -7 and 20
I’m sorry if this is wrong
Well acording to my teachers the true purpose of homework is to forge your mind to look beyond everyone else's mind by trying to get good grades
Answer: The height of the pole is 175.97 ( approx )
Step-by-step explanation:
Let the height of the pole is x cm,
Also, let the angle of elevation of the sun to the pole at 3 pm is ![\theta](https://tex.z-dn.net/?f=%5Ctheta)
Thus, by the question,
![tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7B%5Ctext%7B%20The%20height%20of%20the%20pole%7D%7D%7B%5Ctext%7B%20The%20height%20of%20the%20shadow%7D%7D)
( at 3pm the height of shadow = height of the pole)
![\implies tan\theta = 1](https://tex.z-dn.net/?f=%5Cimplies%20tan%5Ctheta%20%3D%201)
![\implies \theta = 45^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctheta%20%3D%2045%5E%7B%5Ccirc%7D)
Again, according to the question,
When the angle of elevation is
,
The height of shadow = x + 95,
![\implies tan(45-12)^{\circ}=\frac{x}{x+95}](https://tex.z-dn.net/?f=%5Cimplies%20tan%2845-12%29%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7Bx%2B95%7D)
![\implies tan 33^{\circ}=\frac{x}{x+95}](https://tex.z-dn.net/?f=%5Cimplies%20tan%2033%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7Bx%2B95%7D)
![\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x](https://tex.z-dn.net/?f=%5Cimplies%20tan%2033%5E%7B%5Ccirc%7Dx%20%2B%2095%5Ctimes%20tan33%5E%7B%5Ccirc%7D%3Dx)
![\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20tan%2033%5E%7B%5Ccirc%7Dx%20-%20x%20%3D%20-%2095%5Ctimes%20tan33%5E%7B%5Ccirc%7D)
![\implies -0.3505924068 x = - 61.6937213538](https://tex.z-dn.net/?f=%5Cimplies%20-0.3505924068%20x%20%3D%20-%2061.6937213538)
![x=175.969930202\approx 175.97\text{ cm}](https://tex.z-dn.net/?f=x%3D175.969930202%5Capprox%20175.97%5Ctext%7B%20cm%7D)
Hi there Maebe, since the ratio is 3:1 your answer is 96.
The ratio 3:1 is just saying Juanita has 3 times whatever Elita has. So, Elita’s 32 times 3 equals 96. :) I hope I’ve helped you. Please give me feedback if you need more help understanding!