The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground at a distance of 0.75 miles from the base of the building. Using this information, find the height of the building in feet.

625.68feet

Step-by-step explanation:

From trigonometry

Tan(θ)= opposite/adjacent

Then from the ATTACHMENT,

opposite= x

Adjacent=0.75

(θ)=9°

Tan(9°)=x/0.75

x=Tan(9°) ×0.75

x= 0.158×0.75

=0.1185miles

find the height of the building in feet?

1 miles= 5280 feet

0.1185miles=xfeet

Cross multiply, we have

X= 5280 × 0.1185

X=625.68feet

Hence,the height of the building in feet is 625.68feet

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)