a 16 foot ladder leans against a brick wall. the ladder reaches a height of 8 feet on the wall. the ladder makes a with the wall.
I'm going to assume the question means "the ladder makes a ___ angle with the wall."
In this case, we can draw a diagram. What we get is a right triangle with one leg as 8 and the hypotenuse as 16. This is a 30-60-90 triangle (because the leg is half the hypotenuse)! They want the angle the ladder makes with the wall, so the angle between hypotenuse and leg, which is 60 degrees.
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