Question

a piece of lumber leans against a wall. the top of this 40 foot piece of lumber touches a point on the wall that is 36 feet above the ground. find to the nearest degree the measure of the angle that the lumber makes with the wall

Answer 1

So first find the distance from the bottom of the lumber to the wood
40^2= 36^2+X^2
X=304^1/2. Or the sqaure root of 304

The you use the sin equation

Sin90*\40= sin(unknown angle)/304^1/2
Sinx(x) = ((304^1/2)xsin(90))/40
X=arcsin((304^1/2)xsin(90))/40