Answer:
The image in the attached figure
Step-by-step explanation:
we know that
The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor
In this problem the scale factor is 1/4
The height of the pre-image is 4 units
The base of the pre-image is 8 units
Find out the dimensions of the image
The height of the image is 
The base of the image is 
The image in the attached figure
Terminating because the decimal ends rather than going on forever which would be repeating
What's the question you're asking?
Fractional index means "xth root of". Negative index means a fraction. So together, what it really means is:
![\frac{1}{\sqrt[5]{32}} = \frac{1}{2}.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B32%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D.)
Here we don't know the length of the hypo, but do have measures of both legs of this right triangle: x and 40 yd.
Use the tangent function to determine the value of x:
x
--------- = tan 62 degrees. Solving for x: x = (40 yd)(tan 62 deg).
40 yd can you evaluate this yourself?
