Question

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.

Answer 1

Answer:

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 = $55^{o}$.

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

Tan θ = $\frac{opposite}{adjacent}$

Tan $55^{o}$ = $\frac{340}{x}$

⇒ x = $\frac{340}{Tan 55^{o} }$

      = $\frac{340}{1.4282}$

      = 238.062

x = 238.0 feet

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