Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
1 answer:
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
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Answer/Step-by-step explanation:
Quotient is simply the ratio of the first numerator to the second numerator:
Let's are two fractions in same terms.
Thus, {Divided by a fraction is equal to multiplied by its reciprocal}
=
Quotient is simply the quotient of their numerators.
Example could be:
2 is first numerator and 3 is the second numerator.
<u><em>~lenvy~</em></u>
1) First find the coordinates of the shape:
G(-1, -2), F(-1, -1), E(2,2), D(2, -2)
2)It asked for dilation of 2 about the origin.
<u><em>*What is dilation?</em></u>
<em>Dilation is the expanding/enlarging a transformation by a scale factor</em>
Now we multiply all the coordinates with the factor of 2
G(-1*2, -2*2) = G'(-2, -4)
F(-1*2, -1*2) = F'(-2, -2)
E(2*2, 2*2) = E'(4, 4)
D(2*2, -2*2) = D'(4, -4)
3) Now plot these points and graph the transformation:
