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Let the angle = θ

Let the height = a

Let the base = b

* means multiplied by

If the angle touches the base:

tanθ = a/b

b = a/tanθ

If the angle touches the height:

tanθ = b/a

b = a*tanθ

When transferring the second line of working (b= ...) into a calculator, replace a with the height and θ with the angle. The answer will be b.

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Q: How do you find the base of right triangle when you have the height and the angle?
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