Question

Geometry - 100 nautical miles equals about 115 standard, or statute, miles. To the nearest mile, 156 nautical miles equals ?

A) 100 statute miles
B) 137 statute miles
C) 156 statute miles
D) 179 statute miles

Answer 1

179 statute miles

Explanation:

It is given that, 100 nautical miles equals about 115 standard miles. We need to find the statue miles in 156 nautical miles. It can be calculated using unitary method as :

100 nautical miles = 115 statue miles

1 nautical miles = (115/100) statue miles

So,
`156\ nautical\ miles =(115)/(100)* 156`

`156\ nautical\ miles =179.4\ statue\ miles`

Approx,
`156\ nautical\ miles =179\ statue\ miles`

So, 156 nautical miles is equal to 179 statue miles. Hence, the correct option is (d) 179 statue miles.

Answer 2

D

Explanation:

100 nautical miles equals about 115 statute miles,

156 nautical miles equals about x statute miles.

Write a proportion:

`(100)/(156)=(115)/(x)\Rightarrow 100x=156\cdot 115,\\ \\x=(156\cdot 115)/(100)=(17,940)/(100)=179.4\approx 179.`

Thus, 156 nautical miles equals about 179 statute miles.