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

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

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 =
`(opposite)/(adjacent)`

Tan
`55^(o)` =
`(340)/(x)`

⇒ x =
`(340)/(Tan 55^(o) )`

=
`(340)/(1.4282)`

= 238.062

x = 238.0 feet

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