Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,

multiply the x-coordinate of T by 9/5 to get the x-coordinate of T′ and
multiply the y-coordinate of T by 9/5 to get the y-coordinate of T′.

What are the coordinates of point T′?

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of , you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

You get that the coordinates of the Image T' are the shown below:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the answer is 1030 it's very simple math.