Astreet light is mounted on a pole. a 6-foot-tall man is standing on the street a short distance from the pole, casting a shadow. the angle of elevation from the tip of the man's shadow to the top of his head of 28°. a 6-foot-tall woman is standing on the same street on the opposite side of the pole from the man. the angle of elevation from the tip of her shadow to the top of her head is 28°. if the man and woman are 20 feet apart, how far is the street light from the tip of the shadow of each person

There is extra info here that could about drive you nuts.  If you constructed right triangles from this scenerio, both the triangles would look identical.  We have base angles of 90 (where the light goes into the ground, assuming the light pole is straight up in the air and not threatening to fall over on one of these people, ending their trig nightmare...) and another base angle of 28.  We have the heights of these people as 6, so what we have is a right triangle with a base angle of 28 and a height across from that angle as 6.  We need the length of the hypotenuse of this triangle which can be found very easily using the tangent sin ratio: which gives us that x=12.78 feet

x/7.50 = 15

x= 7.50 / 15 divide

x = 2

step-by-step explanation: