Question

A 13 ft ladder is leaning against a house when its base begins to slide away. By the time the base is 3 ft from the house, the base is moving at the rate of 2 ft/sec. Answer the following:

At what rate is the angle Theta changing then?

Answer 1

x=3 y=sqrt(160

Answer 2

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Answer 3

on the triangle i drew, as you can see, y represents the distance from the top of the latter to the ground and x represents the distance from the adjacent side or the base of the ladder.
The base, which is x, is moving at a rate of 2 ft/sec

Member, theta is the angle to know the angle of it, we need to know what trig definition will best fit finding the angle from where the base of the triangle is.