Can someone please help with 11-14? I will give thanks and brainliest
1 answer:
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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:
Step-by-step explanation:
Sonya drops a marble while standing on a deck feet above the ground.
The marble falls feet from Sonya's hand to the deck, and then rolls and falls to the ground.
So, the ball falls feet from Sonya's hand to the deck and
from the deck to the ground, in total