Question

A model of a telescope has a height of 15 inches and and a diameter of 3.5 inches. If the actual diameter is 10 inches, find its actual height.

Answer 1

The actual height of telescope is 42.85 inches

Explanation:

Given that:

Height of model of telescope = 15 inches

Diameter of model of telescope = 3.5 inches

Actual diameter of telescope = 10 inches

Actual height of telescope = x

Ratio of model's diameter to height :: Ratio of actual diameter to height

3.5 : 15 :: 10 : x

Product of extreme = Product of mean

3.5*x = 10*15

3.5x=150

Dividing both sides by 3.5

`(3.5x)/(3.5)=(150)/(3.5)\\x=42.85`

Hence,

The actual height of telescope is 42.85 inches