xMABRYx1991
10.03.2020 •
Physics
A street light is mounted at the top of a 15 foot pole. A man 6 ft tall walks away from the pole wit a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole
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Ответ:
16.3 ft/s
Explanation:
Let d=distance
and
x = length of shadow.
Therfore,
x=(d + x)
= 6/15
So,
15x = 6x + 6d
9x = 6d.
x = (2/3)d.
As we know that:
dx=dt
= (2/3) (d/dt)
Also,
Given:
d(d)=dt
= 7 ft/s
Thus,
d(d + x)=dt
= (7/3)d (d/dt)
Substitute, d= 7
d(d + x) = 49/3 ft/s.
Hence,
d(d + x) = 16.3 ft/s.
Ответ:
The correct option is ΔABC ≅ ΔFED by SAS
Step-by-step explanation:
Looking at the given diagram,
Side AC = Side DF = 3.2
Side AB = Side FE = 4 units
Angle A = angle F = 72 degrees
Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)
This makes the ratios possible
AB/FE = AC/DF
The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.