A road is inclined at an angle of 5°. After driving 5,328 feet along this road, find the
driver's increase in altitude Round to the
nearest foot

464feet

Step-by-step explanation:

USing the SOH CAH TOA identity

Hypotenuse = 5,328feet

Angle of elevation - 5 degrees

Required

Opposite = x

Since

Sin theta = opp/hyp

sin 5 = x/5,328

x = 5,328sin5

x  = 464.36

x = 464feet to the nearest foot

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)

step-by-step explanation: