The sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. if a building is built 32 feet away, what height will the shadow strike the side of the building? (round to nearest tenth)

Height of building = 11.5 feet.

Explanation:

Since we have given that

Height of flagpole = 30 foot

Length of shadow of flagpole = 52 foot

According to question, if a building is built 32 feet away,

Length of shadow of building will be

Let height of building be h.

Now, we know that there is direct variation, so it becomes

Hence, height of building = 11.5 feet.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

stop cheating

step-by-step explanation: