Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley,
Length is 5 times the width.
Let width be .
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for ,
for
and
for b.
Therefore, width is 4 m.
Length is m.
to find the hypotenuse (or the ramp in question 4) you can use the equation
with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.
then square them.
simplify.
take the square root of both sides.
is approx. 9.5 so the answer would be H.