This is what I got hope it helps!
Answer:
190.08
Step-by-step explanation:
Fractional index means "xth root of". Negative index means a fraction. So together, what it really means is:
![\frac{1}{\sqrt[5]{32}} = \frac{1}{2}.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B32%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D.)
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
![tan(16)=\frac{y}{50}](https://tex.z-dn.net/?f=tan%2816%29%3D%5Cfrac%7By%7D%7B50%7D)
![y=50tan(16)](https://tex.z-dn.net/?f=y%3D50tan%2816%29)
![y=14.33727ft](https://tex.z-dn.net/?f=y%3D14.33727ft)
now, we can find x
In triangle DEF:
we can use trig formula
![tan(8)=\frac{x}{50}](https://tex.z-dn.net/?f=tan%288%29%3D%5Cfrac%7Bx%7D%7B50%7D)
![x=50tan(8)](https://tex.z-dn.net/?f=x%3D50tan%288%29)
![x=7.0270ft](https://tex.z-dn.net/?f=x%3D7.0270ft)
we can see that
height of statue =x+y
so, the height of statue is
![=14.33727+7.0270](https://tex.z-dn.net/?f=%3D14.33727%2B7.0270)
![=21.4ft](https://tex.z-dn.net/?f=%3D21.4ft)
Answer:
Step-by-step explanation:
there are two ways to solve systems of equations, elimination or substitution, this looks like elimination would work quickly
x= 25 -y
x + y = 25 (eq 1)
5x + y = 10 (eq 2)
subtract 2 from 1
x + y = 25
-(5x + y = 10)
-4x + 0y = 15
-4x = 15
x = - 15/4
now plug in x into either starting equations and solve for y
-15/4 + y = 25
y = 25 + 15/4
y = 100/4 + 15 /4
y = 115 /4
y = 28 3/4
we have solved it :)