SOLUTION: A 12 foot ladder is leaning against a wall. If the ladder reaches 8 feet high on the wall, what is the angle the ladder forms with the ground to the nearest degree?

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Question 4741: A 12 foot ladder is leaning against a wall. If the ladder reaches 8 feet high on the wall, what is the angle the ladder forms with the ground to the nearest degree?
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
draw the ground, a wall and a line denoting the ladder. This situation is a right angled triangle, so you can use the basic trig relationships.

For the angle you are asked for, we know the height of the wall (opposite side) and the length of the ladder (hypotenuse)

so, sinA=opp/hyp

sinA = 8/12 --> 2/3

so angle A = sin^(-1)(2/3)

which is something...use your calculator.

Jon.