Ameteorologist measures the angle of elevation to her weather balloon as 33
degrees. a radio signal from the balloon indicates that it is 1601 meters diagonally
from her location. how high is the weather balloon above the ground?

The height of the balloon is 872 meters above the ground

Solution:

Given, A meteorologist measures the angle of elevation to her weather balloon as 33 degrees.  

A radio signal from the balloon indicates that it is 1601 meters diagonally from her location.  

We have to find how high is the weather balloon above the ground?

We have to assume an right angle triangle here, with diagonal distance as hypotenuse and height of balloon as opposite side of elevation angle.

So, now, from above assumption,

Now, height of balloon = 1601 0.5446 = 871.967

Hence, the height of the balloon is 872 meters approximately.

false

step-by-step explanation:

i looked it up

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)