Answer:
30.11 meters ( approx )
Step-by-step explanation:
Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )
Given,
Point A is 8.20 m above level ground,
So, the height of the building = ( x + 8.20 ) meters,
Now, 1 degree = 60 minutes,
⇒ ![1\text{ minute } =\frac{1}{60}\text{ degree }](https://tex.z-dn.net/?f=1%5Ctext%7B%20minute%20%7D%20%3D%5Cfrac%7B1%7D%7B60%7D%5Ctext%7B%20degree%20%7D)
![20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}](https://tex.z-dn.net/?f=20%5Ctext%7B%20minutes%20%7D%3D%5Cfrac%7B20%7D%7B60%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20degree%7D)
![50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}](https://tex.z-dn.net/?f=50%5Ctext%7B%20minutes%20%7D%3D%5Cfrac%7B50%7D%7B60%7D%3D%5Cfrac%7B5%7D%7B6%7D%5Ctext%7B%20degree%7D)
By the below diagram,
![tan ( 12^{\circ} 50') = \frac{8.20}{y}](https://tex.z-dn.net/?f=tan%20%28%2012%5E%7B%5Ccirc%7D%2050%27%29%20%3D%20%5Cfrac%7B8.20%7D%7By%7D)
![tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}](https://tex.z-dn.net/?f=tan%2812%2B%5Cfrac%7B5%7D%7B6%7D%29%5E%7B%5Ccirc%7D%3D%5Cfrac%7B8.20%7D%7By%7D)
![tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}](https://tex.z-dn.net/?f=tan%20%28%5Cfrac%7B77%7D%7B6%7D%29%5E%7B%5Ccirc%7D%3D%5Cfrac%7B8.20%7D%7By%7D)
![\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cfrac%7B8.20%7D%7Btan%20%28%5Cfrac%7B77%7D%7B6%7D%29%5E%7B%5Ccirc%7D%7D)
Now, again by the below diagram,
![tan (31^{\circ}20')=\frac{x}{y}](https://tex.z-dn.net/?f=tan%20%2831%5E%7B%5Ccirc%7D20%27%29%3D%5Cfrac%7Bx%7D%7By%7D)
![tan(31+\frac{1}{3})=\frac{x}{y}](https://tex.z-dn.net/?f=tan%2831%2B%5Cfrac%7B1%7D%7B3%7D%29%3D%5Cfrac%7Bx%7D%7By%7D)
![\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91](https://tex.z-dn.net/?f=%5Cimplies%20x%3Dy%5Ctimes%20tan%28%5Cfrac%7B94%7D%7B3%7D%29%3D%5Cfrac%7B8.20%7D%7Btan%20%28%5Cfrac%7B77%7D%7B6%7D%29%5E%7B%5Ccirc%7D%7D%5Ctimes%20tan%28%5Cfrac%7B94%7D%7B3%7D%29%5E%7B%5Ccirc%7D%3D21.9142943216%5Capprox%2021.91)
Hence, the height of the building = x + 8.20 = 30.11 meters (approx)
Answer:
The area is 104
Step-by-step explanation:
Please ensure that you've copied down this problem correctly. You speak of someone named "Yarin" but also speak of "my" and "I". Are there really two different people who "star" in this problem? Are you studying "ratios" right now?
12.60 / 7 = $ 1.80 per bottle
10.98 / 6 = $ 1.83 per bottle
18.10 / 10 = $ 1.81 per bottle
16.38 / 9 = $ 1.82 per bottle
best buy (cheapest) is : $ 12.60 for 7 bottles <==