Alexandra holds a drawing on a transparency paper LaTeX: \overline{XW}X W ¯ in front of a flashlight held at point V. Her drawing is projected on the ceiling at LaTeX: \overline{ZY}Z Y ¯ such that LaTeX: \overline{ZY}\:\parallel\:\overline {XW}.Z Y ¯ ∥ X W ¯ . The length of LaTeX: \overline{XW}X W ¯ is 12 inches. What is the length of the drawing projected on the ceiling?

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

sine

step-by-step explanation:

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45