Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

a =

b = 2

Step-by-step explanation:

By applying tangent rule in the given triangle,

tanθ =

tan(45)° =

1 =

b = 2

Now we apply sine rule in the triangle,

sinθ =

sin(45)° =

a =

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet