Numerators will be equal after the multiplication.
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
Answer:77d-16
Step-by-step explanation:
Answer:
84.4 m
Step-by-step explanation:
We are given that
![\theta=24^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D24%5E%7B%5Ccirc%7D)
The new angle,![\theta'=38.5^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%27%3D38.5%5E%7B%5Ccirc%7D)
Slop of the present bank=210 ft
We have to find the horizontal distance into the bank must they dig.
![Sin\theta=\frac{Perpendicular\;distance}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%5Ctheta%3D%5Cfrac%7BPerpendicular%5C%3Bdistance%7D%7BHypotenuse%7D)
![sin24=\frac{h}{210}](https://tex.z-dn.net/?f=sin24%3D%5Cfrac%7Bh%7D%7B210%7D)
![h=210sin24=85.4 m](https://tex.z-dn.net/?f=h%3D210sin24%3D85.4%20m)
![cos\theta=\frac{base}{Hypotenuse}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cfrac%7Bbase%7D%7BHypotenuse%7D)
![cos24=\frac{x}{210}](https://tex.z-dn.net/?f=cos24%3D%5Cfrac%7Bx%7D%7B210%7D)
![x=210cos24=191.8 m](https://tex.z-dn.net/?f=x%3D210cos24%3D191.8%20m)
![tan\theta'=\frac{perpendicular\;distance}{Base}=\frac{h}{x'}](https://tex.z-dn.net/?f=tan%5Ctheta%27%3D%5Cfrac%7Bperpendicular%5C%3Bdistance%7D%7BBase%7D%3D%5Cfrac%7Bh%7D%7Bx%27%7D)
![tan38.5=\frac{85.4}{x'}](https://tex.z-dn.net/?f=tan38.5%3D%5Cfrac%7B85.4%7D%7Bx%27%7D)
![x'=\frac{85.4}{tan38.5}=107.4 m](https://tex.z-dn.net/?f=x%27%3D%5Cfrac%7B85.4%7D%7Btan38.5%7D%3D107.4%20m)
The horizontal distance they have to dug=191.8-107.4=84.4 m