In a photograph, the length of a sailing ship is 12in., and the height of its mast is 5in. The actual ship is 30 m long. What is the actual height of the ship's mast?
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You can solve this problem with a proportion.
12/30 = 5/x
Cross multiply and solve for x.
12x = 150
x = 150/12
x = 12.5 feet
12.5 meters
To find the actual height of the ship's mast, you need to set up a proportion using the information given.
Let x represent the actual height of the ship's mast.
According to the given information, the length of the ship in the photograph is 12in, while the actual length of the ship is 30m.
We can set up the following proportion:
12in / 30m = 5in / x
To solve for x, we can use cross multiplication:
12in * x = 30m * 5in
Now, we need to convert the units in the equation to a consistent form. Since 1m is equal to 39.37in, we can convert the 30m into inches:
30m * 39.37in/m = 1181.1in
Now, we can continue solving for x:
12in * x = 1181.1in * 5in
Divide both sides of the equation by 12in to isolate x:
x = (1181.1in * 5in) / 12in
Now, we can calculate the value of x:
x = 490.46in
Therefore, the actual height of the ship's mast is approximately 490.46 inches.