7) How far away from a 340 foot redwood tree would you need to stand, if the angle of elevation to the top of the tree is 550? Round your answer to the nearest foot.

The required distance away from the foot of the tree is 238.0 feet.

Step-by-step explanation:

The height of the redwood tree = 340 feet, and the angle of elevation to its top = .

let the required distance be represented by x, applying the appropriate trigonometry function, we have;

Tan θ =

Tan =

⇒ x =

      =

      = 238.062

x = 238.0 feet

The required distance away from the foot of the tree is 238.0 feet.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents