Final answer:
The Gardenview Hotel is 235 feet tall. This is determined by setting up an algebraic equation with the given relationship between the heights of the hotels and solving for the Gardenview Hotel's height.
Step-by-step explanation:
The student is asking how tall the Gardenview Hotel is given that it is seventeen less than twice the height of the Plaza Hotel and that their combined height is 361 feet. To find the height of the Gardenview Hotel, we can set up an equation where G represents the height of the Gardenview Hotel, and P represents the height of the Plaza Hotel.
According to the given information, G = 2P - 17 and G + P = 361.
Now we can substitute the expression for G from the first equation into the second equation:
- 2P - 17 + P = 361
- 3P - 17 = 361
- 3P = 361 + 17
- 3P = 378
- P = 378 / 3
- P = 126
Now that we know P (the Plaza Hotel height), we can use the first equation to find G:
- G = 2 * 126 - 17
- G = 252 - 17
- G = 235
Therefore, the height of the Gardenview Hotel is 235 feet.