Solve each problem. See Example 5.

Height of a Carving of Linco...

Question

Solve each problem. See Example 5.

Height of a Carving of Lincoln Assume that Lincoln was 6 1/3 ft tall and his head was 3/4 ft long. Knowing that the carved head of Lincoln at Mt. Rushmore is 60 ft tall, find how tall his entire body would be if it were carved into the mountain.

Accepted Answer

Hello, everyone. The length of a colossal squid's mantle is measured to be six and 4/5 feet long when it swims its body length, including its tentacles is found to be 42.5 ft long. In a local research facility, a rigid replica of the squid in movement is made. If the replica's mantle measures 3 ft long, determine the length of its entire body. Our answer choices are a 25. ft, B 25 and 5/6 feet c 18 and 1/4 feet d 18 and 3/4 feet. So for this problem, we are gonna set up a proportion. So a proportion is two fractions that are equal to each other. And so we wanna make sure that similar things are across from each other. So for example, I'm gonna put the mantle or the real mantle as my numerator of my first fraction and my replica ma mantle as the numerator of my second fraction. The denominator of my first fraction will be the total length of the real squid and the denominator of my second fraction will be the total length of the replica squid. So I have the real squid information in one fraction, the replica in the other. And then I have the like things corresponding parts. So now let's put some numbers in, we are told the real mantle of this squid is six and 4/5 feet long in that the full length. So the denominator there will be 42.5 beat. So my first fraction is six and 4/5 divided by 42.5. My second fraction, the length of the replica's mantle is 3 ft long. And our unknown is the length of the entire body of the replica. So this fraction is three divided by X. We're gonna cross multiply to solve this. So three multiplied by 42. is 127. and going on the other diagonal six and 4/ multiplied by X is six and 4/5 X. If it helps to make this into a decimal, you absolutely can. I'm gonna divide both sides by six and 4/ to find out what X is. So that'll leave the X by itself and 125 and one half divided by six and 4/5 equals 18 and 3/4. So that's our value for X. So this means that the length of the body of the replica is 18 and 3/4 feet long, which is answer choice D have a nice day.

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Solve each problem. See Example 5. Height of a Carving of Lincoln Assume that Lincoln was 6 1/3 ft tall and his head was 3/4 ft long. Knowing that the carved head of Lincoln at Mt. Rushmore is 60 ft tall, find how tall his entire body would be if it were carved into the mountain.