Question

48°18 cm

x
1m
1750
Find the missing angles:
A) 38°12'
B) 42°36'
C) 45°24'
D) 51°30'

Answer 1

The answer of the given equation that " the missing angles" is C) 45°24'

Step-by-step explanation:

To find the missing angles, you can use the information provided:

`\[48^\circ18' : x :: 1\, \text{m} : 1750\]`

First, convert the given angle to decimal degrees:

`\[48^\circ18' = 48 + (18)/(60) = 48.3^\circ\]`

Now, set up the proportion:

`\[(48.3)/(1) = (x)/(1750)\]`

Cross-multiply to solve for
`\(x\):`

`\[48.3 * 1750 = x * 1\]`

`\[x = 48.3 * 1750\]`

`\[x = 84,525\]`

Now, convert the result back to degrees and minutes:

`\[84,525 \text{ cm} \approx 45^\circ24'\]`

Therefore, the missing angle is C) 45°24'.