Mathematics: Which is the longest distance? a: 3500cm b: 65.5m c: 75000mm d: 15.5m e: 0.1km

Which is the longest distance? a: 3500cm b: 65.5m - id3500654532976, jmcartwright00

jhitotw

15.01.2022

The correct option is E.

Step-by-step explanation:

The following conversions are used:

1 cm = 10 mm

1 m = 100 cm

1 km = 1000 m

Using these conversion, convert the each unit in meters.

1. $3500cm=\frac{3500}{100}m=35m$

2. 65.5m

3. $75000mm=\frac{75000}{1000}m=75m$

4. 15.5m

5. $0.1km=0.1\times 1000m=100m$

Now compare the each distance.

100 m is longest among all. So, 0.1km is the longest distance.

Therefore the correct option is E.

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kyliemorgan8623

30.04.2023

We know that :

$\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}$

From the figure, We can notice that :

Ф Adjacent side length = 8

Ф Hypotenuse length = 11

$\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}$

$\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}$

$\sf{\implies x^{\circ} = 43.34}$

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