Question 14: Please help, if the sides of another sail are proportional to the main sail, and the bottom of this sail is 8 feet wide, how tall is it?

20 ft

Step-by-step explanation:

The two triangles in this problem are proportional to each other: so, the ratio between their height and the length of their base is equal for the two triangles.

Therefore, we can apply the rule of three, and we can write:

where:

H = 25 ft is the height of the large triangle

B = 10 ft is the length of the base of the large triangle

h is the height of the small triangle

B = 8 ft is the length of the base of the small triangle

And solving for h, we find:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.