In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. DIO 16 ft P + 3 ft + 18 ft- Not drawn to scale Which proportion can be used to find h, the height of the building in feet? What is the answer?​

The answer is G

24 units

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4