Question

A board is leaning against a vertical wall. One end of the board rests on the ground at a point eight feet from the wall. The other end of the board touches the wall at a point that is six feet above the ground.

Use a trigonometric function to determine the angle that the board creates with the ground (m∠A). In at least two sentences, explain why you chose your specific function and how it applies to the measure of angle A.

Answer 1

36.9°

Explanation:

Since we have the lengths of the sides opposite and adjacent to angle A, we can use tan ratio to compute the angle at a

tanA = BC/BA

tanA = 6/8

A = 36.86989765

Answer 2

36.86989765 degrees.

Explanation:

tan (A) = (oposite side/adjacent side)

tan (A) = 6/8

If you use inverse tan, A = 36.86989765 degrees.