Question

Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it?

Answer 1

1) let's convert the maximum altitude of the black kite from feet to meters. We can do it by using the following proportion:

`1 ft : 0.3048 m = 362.26 ft : x`
From which we find

`x=110.42 m`
This is the maximum altitude (in meters) of the black kite. The problem says that the maximum altitude of the red kite is 117.46 m, therefore the red kite is the one with higher maximum altitude.

2) Let's convert the maximum altitude of the red kite from meters to feet, again by using the proportion:

`1 ft : 0.3048 m = x : 117.46 m`
From which we find

`x=385.37 ft`
Therefore, the maximum altitude of the red kite in feet is 385.37 ft.

Answer 2

Red kite has maximum altitude with 23.1 feet higher.

Explanation:

Given : Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet.

one foot is the same as 0.3048 meters.

To find : Which kite has a higher maximum altitude, and how many feet higher is it?

Solution :

First we have to convert meter into feet.

We have given, 1 feet = 0.3048 meters.

`1 \text{ meter }=(1)/(0.3048) \text{ feet}`

So, red kite has a maximum altitude of 117.46 meters

In feet, red kite has a maximum altitude of

`117.46\text{ meter }=(117.46)/(0.3048)=385.36 \text{ feet}`

Now, Red kite has a maximum altitude of 385.36 feet

Black kite has a maximum altitude of 362.26 feet.

385.36>362.26 feet.

Difference is 385.36-362.26=23.1 ft.

Therefore, Red kite has maximum altitude with 23.1 feet higher.