Sierra and Angel are visiting Washington State for the first time and were told to make a trip to the city (Seattle) and Downtown (Pike Place Market) before they leave.
“Oh gosh what is that? I’ve never seen such a thing!”
“I have no idea!”
“Oh that's the space needle! It’s an observation tower that includes three main viewing areas. There's also a gift shop and a restaurant held inside.”
Oh wow! How tall would you say the space needle is from this angle?”
“Well if we use something called the Tangent Ratio, we can figure it out!”Tan (45 degrees) = Height / 115 feet115 tan (45) = Height 115 feet = Height
45
115
“I love visiting different markets around the world!”
“Me too! Wait a minute... Are they throwing fish from one stand to another ?”
“Woah! It looks like it. I wonder how big the area is between both stands and where we’re standing?”
“Hey! I just learned in math that if we use the Heron's Formula, we can calculate the Area! " S = (6 + 12 + 14) / 2 = 20 and the difference between S and each of the sides. So we take the square root of 20 (20 - 6) (20 - 12) = 1280. And the square root of that is 36.
“I had so much fun today! We should definitely come visit Washington more often.”
“I agree! Let’s do this again!”
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