Question

type the answers in the spaces provided. use numbers instead of words. jason is putting a pool umbrella in his shed. the umbrella is 126 inches tall. the shed is 6 feet wide, 7 feet tall, and 8 feet long. will the umbrella fit diagonally inside his shed? round your answers to the nearest tenth, if necessary. answer the three - dimensional diagonal shed length is approximately feet and the length of the umbrella is feet

Explanation:

Step1: Convert umbrella height to feet

Since 1 foot = 12 inches, then 126 inches = $\frac{126}{12}=10.5$ feet.

Step2: Calculate the three - dimensional diagonal of the shed

Use the three - dimensional distance formula $d=\sqrt{l^{2}+w^{2}+h^{2}}$, where $l = 8$ feet, $w = 6$ feet, and $h = 7$ feet.
$d=\sqrt{8^{2}+6^{2}+7^{2}}=\sqrt{64 + 36+49}=\sqrt{149}\approx12.2$ feet.

Answer:

The three - dimensional diagonal shed length is approximately 12.2 feet and the length of the umbrella is 10.5 feet.