Denali, which is about 20,000 ft. above sea level, is the highest mountain in the United States. Mt. Everest, the highest mountain on earth, is about 9×103

Question

ft. higher than Denali. About how high is Mt. Everest? The answer should be in scientific notation.(1 point)
Responses

2.9×104
ft.
2.9 times 10 superscript 4 baseline ft.

29,000 ft.
29,000 ft.

2.9×103
ft.
2.9 times 10 cubed ft.

1.1×103
ft.

Answer 1

To find the height of Mt. Everest, we need to add the height of Denali to the amount that Mt. Everest is higher than Denali.

1. Height of Denali: \( 20,000 \) ft or \( 2.0 \times 10^4 \) ft.
2. Height difference: \( 9 \times 10^3 \) ft or \( 9,000 \) ft.

Now, we can calculate the height of Mt. Everest:

\[ \text{Height of Mt. Everest} = \text{Height of Denali} + \text{Height difference} = 20,000 , \text{ft} + 9,000 , \text{ft} \] \[ 20,000 , \text{ft} + 9,000 , \text{ft} = 29,000 , \text{ft} \]

In scientific notation, \( 29,000 \) ft can be expressed as \( 2.9 \times 10^4 \) ft.

So, the height of Mt. Everest is 2.9×10^4 ft.