Given the following triangle, if c = sqrt 5 and a = 2, find the measure of b to the nearest degree.

Hi!

For a triangle rectangle the length of the hypotenuse c is equal to where a and b are the length of both cathetus.

So here we have c = and a = 2.

then = 5

    4 +   = 5

and b = 1.

If we want the angle B. then Tg(B)= = 1/2

so B = aTg(0.5) = 26° aprox.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

1. minimum

2. 6400

3. eight

hope this !