Final Answer:
A cone-shaped play tent has a radius of 4 feet and a slant height of 7 feet. If Joe is six feet tall, Joe cannot stand upright inside the tent. Therefore, the correct option is B) Joe cannot stand upright inside the tent.
Step-by-step explanation:
To determine whether Joe can stand upright inside the cone-shaped play tent, we need to find out if his height (6 feet) is less than or equal to the height of the tent when he stands upright.
The height of the tent when Joe stands upright is the sum of the radius (4 feet) and the slant height (7 feet). Using the Pythagorean theorem, we can find the slant height:
c² = a² + b²
c = √(a² + b²)
c = √(4² + 7²)
c ≈ 8.66 feet
Therefore, the height of the tent when Joe stands upright is approximately 8.66 feet. Since Joe's height is 6 feet, it is less than the height of the tent when he stands upright. This means that Joe cannot stand upright inside the tent. If he tries to stand up, his head will hit the top of the tent. Therefore, the correct option is B) Joe cannot stand upright inside the tent.