Width of the miniature model = inches
Length of the miniature model = inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
Do cross multiplication.
⇒ x = 22
Hence the actual length of the boat is 22 feet.
The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.