1. A wooden plank is leaning against a wall. T

Question

The bottom of the plank is 3 feet from the wall. Answer each of the following questions, and show all of your work.

a)     Find AC, the approximate length of the plank. Round to the nearest tenth of a foot.

b)    Find BC, the height off the ground where board touches the wall. Round to the nearest foot.

Answer 1

sin 49=3/AC,

AC = 3/sin 49 = 3.975 feet.

 

To find BC we can use the Pythagorean Theorem

AC² = BC² + AB²

3.975² = BC² + 3²

BC² = 6.8

BC=2.6 ft