Question

The direct distance from Trevino to Lowell is 100 miles, and the direct distance from Lowell to Sun City is 30 miles. To the nearest mile, what is the direct distance from Las Palmas to Lowell?

Answer 1

A. 55

Explanation:

The direct distance from Las Palmas to Lowell = the altitude or height of the right triangle.

According to the right triangle altitude theorem, thus:

`h = √(xy)`

Where,

h = direct distance from Las Palmas to Lowell = ?

x = direct distance from Trevino to Lowell = 100 miles

y = direct distance from Lowell to Sun City = 30 miles

Plug in the values into the equation

`h = √(100*30)`

`h = √(3,000)`

`h = 55 miles` (nearest mile)